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In this video I go over another example on hyperbolas and this time determine the formula of a vertical hyperbola and its foci while being given just the vertices and its asymptote line. We know the hyperbola opens up vertically because the given vertices (0, +/-1) are on the y-axis. Applying the standard form of a vertical hyperbola y^2/a^2 – x^2/b^2 = 0, where the foci is (0 , +/- c), asymptotes are y = +/- (a/b)x, and c^2 = a^2 + b^2, we can rearrange the resulting formula to get an equation of the resulting vertical hyperbola. Given the asymptote line of y = 2x, the resulting foci are (0, +/- sqrt(5)/2) and the hyperbola is of the formula y^2 – 4x^2 = 1. This is a quick and useful video illustrating the steps in analyzing a vertical hyperbola so make sure to watch this video! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5MyH6zpUJ1fXDbiFg View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/conic-sections-hyperbolas-example-2-vertical-hyperbola Related Videos: Conic Sections: Hyperbolas: Example 2: Vertical Hyperbola: https://youtu.be/zBNSTkoEzFI Conic Sections: Hyperbola: Definition and Formula: https://youtu.be/UBIHovXNV9U Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M Hyperbola - Definition and derivation of the equation: x^2/a^2 - y^2/b^2 = 1: http://youtu.be/Y6iYC4VEAi0 Hyperbola Examples: http://youtu.be/LvccUMFrY3k . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over a quick overview of lunar eclipses and a bit on solar eclipses. A lunar eclipse is a type of Full Moon that moves directly behind Earth's shadow away from the Sun. A solar eclipse is when the Moon passes directly between the Sun and the Earth, thus blocking out the Sun in a specific location on the Earth. Lunar and solar eclipses occur at Lunar Nodes, which are points at which the Moon's orbit crosses the Ecliptic, which is the plane of Earth's orbit around the Sun. During lunar eclipses, the Full Moon appears darker than usual. Earth's shadow has two parts, a lighter outer shadow called the Penumbra and a darker inner shadow called an Umbra. Lunar eclipses can be classified as: penumbral lunar eclipse, partial lunar eclipse (only a portion of the Moon passes through the umbra), and a total lunar eclipse (Moon fully passes through the umbra). A central lunar eclipse occurs when the Moon passes through the center of Earth's shadow or umbra. A total lunar eclipse is also called a blood moon because the Moon looks reddish due to Earth's atmosphere scattering higher frequency blue light more than lower frequency red light. Lastly, during a solar eclipse, the Sun is blocked out showing only its outer bands which are called the Corona. The timestamps of key parts of the video are listed below: - Lunar Eclipse, Solar Eclipse, Lunar Nodes, Ecliptic, Moon's Inclined Orbit: 0:00 - Solar Eclipse vs Lunar Eclipse Comparison: 1:58 - Earth's Umbra and Penumbra Shadows: 2:37 - Summary of Types of Lunar Eclipses: 3:02 - Blood Moon or Total Lunar Eclipse: 3:42 - Solar Eclipse vs Blood Moon Photographs: 4:41 This video was taken from my earlier video listed below: - 🌕 Strange Coincidences Involving Donald Trump's Birthday: https://youtu.be/Yd0Ah2Komco - HIVE video notes: https://peakd.com/hive-106474/@mes/coincidences-involving-donald-trumps-birthday - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0ElXMhiVmHKyq9IiI0SFYBk Related Videos: Full MES Occult video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EX_SJASwVeZMA-CMgu6-Ox . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over the first strange coincidence involving Donald Trump's birthday, which is he was born during a Blood Moon or Total Lunar Eclipse on June 14, 1946. This Blood Moon was also a Central Lunar Eclipse since the Full Moon crossed the center of Earth's shadow. There has been 81 total lunar eclipses in the 20th century and 33 of these were central lunar eclipses. I also show how to use the amazing Stellarium web app to see how the sky looks across time and from different locations on the Earth: https://stellarium-web.org/ Trump was also born in Queens, which is right next to Manhattan, where 9/11 occurred and where Trump does much of his business. Interestingly, Trump even proposed in 2004 to building the Twin Towers II (also called Trump Twin Towers) to replace the previous dustified Twin Towers. The proposal didn't win out, and the One World Trade Center (formerly called the Freedom Tower during the planning stages) was built instead. The timestamps of key parts of the video are listed below: - Trump's Birthday: June 14, 1946: 0:00 - Trump Proposed Building Twin Towers II: 2:34 - Blood Moon or Total Lunar Eclipse on June 14, 1946: 3:56 - Total and Central Lunar Eclipses in the 20th Century: 4:49 - Stellarium Web App to View the Full Moon: 7:28 This video was taken from my earlier video listed below: - 🌕 Strange Coincidences Involving Donald Trump's Birthday: https://youtu.be/Yd0Ah2Komco - HIVE video notes: https://peakd.com/hive-106474/@mes/coincidences-involving-donald-trumps-birthday - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0ElXMhiVmHKyq9IiI0SFYBk Related Videos: Full MES Occult video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EX_SJASwVeZMA-CMgu6-Ox . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over the many strange and bizarre coincidences involving Donald Trump and in particular his birthday June 14, 1946. Given that we live in a conspiratorial world, it is evident that some foreshadowing or "predictive programming" occurs years before major psychological operations (PsyOps); be it conscious or subconscious, these patterns always exist! Most focus their attention to specific PsyOp events, such as 9/11, but this time the PsyOp may just be a larger-than-life personality in Donald John Trump. And in particular Trump's birthday is constantly appearing in many world events. From being born on a Blood Full Moon, Aleister Crowley writing about a Moonchild, US Flag Day and US Army birthday, and much more, Trump's birthday is weaved into the most bizarre of scenarios! The topics covered as well as their timestamps are listed below. - Introduction: 0:00 - MES Occult Video Series: 0:55 - Note on the Word "Occult": 1:48 - Note on Earlier Video I Was Working On: 2:41 - Topics to Cover: 3:22 1. Donald Trump was Born During a Blood Moon: 9:48 - Trump Proposed Building Twin Towers II: 12:23 - June 14, 1946 was a Blood Moon or Total Lunar Eclipse: 13:50 - Lunar Eclipses Overview: 19:24 2. 1980 Horror Movie "Friday the 13th": The Serial Killer Jason Voorhees was Born on June 14, 1946?: 24:33 - Friday June 13, 1946 or Friday June 14, 1946?: 25:21 - Movie Rundown: Full Moon Theme: 27:53 - Jason (and Trump) Take Manhattan: 31:42 3. Aleister Crowley's June 14, 1946 Letter about the Moonchild: 38:51 - Background on the Moonchild: 42:35 - Jack Parsons, Ron Hubbard, and the Babalon Working: 45:36 4. Strange Angel TV Series Released on June 14, 2018: 50:21 - Jack Parsons: Jet Propelled Antichrist Documentary: 53:14 5. Unites States Flag Day and US Army Birthday are on June 14: 55:21 6. Baruch Plan: June 14, 1946 American Proposal for UN Control of All the World's Nuclear Weapons: 58:20 - Trump World Tower and United Nations Headquarters in Manhattan: 1:03:49 7. Roswell (Corona) Incident: 14 June 1947: 1:07:36 - Crash Site Opened in 2018 During Trump's Presidency: 1:14:12 - US Space Force Created in 2019 During Trump's Presidency: 1:15:13 - **Interesting Timings Relating to Trump, Roswell (Corona), 9/11, COVID-19, and the Space Force**: 1:17:07 8. Republican Steve Scalise Shot on June 14, 2017: 1:24:57 9. Grenfell Tower building Fire in London, England on June 14, 2017: 1:28:46 10. Trump Arraigned June 13, 2023 on the Eve of his 77th Birthday: 1:29:44 11. Summary of Coincidences: 1:33:26 12. Extra Coincidences Involving Trump's Birthday: 1:58:13 - Most Watched NBA Game was on June 14, 1998: 1:58:36 - Michael Jordan's Iconic Game 6 to Win His 6th Championship: 2:00:25 - June 14, 1994 Vancouver Canucks Stanley Cup Riot After Losing Game 7 to New York Rangers: 2:01:10 - June 15, 2011 Vancouver Canucks Stanley Cup Riot After Losing Game 7 to Boston Bruins: 2:02:20 - First Mass Transport to Auschwitz Concentration Camp Was on June 14, 1940: 2:03:07 - First Mass Deportation by the Soviet Union in Occupied Territories Occurred on June 14, 1941: 2:03:59 - European Space Research Organization Founded on June 14, 1964: 2:05:06 - Would Later Merge to Become the European Space Agency (ESA) - Ukrainian Air Force Plane Shot Down by Russian Separatists on June 14, 2014: 2:06:06 - Comedian Heather McDonald was Born on June 14, 1970: 2:08:11 - Standup Comedian that Collapsed Suddenly on Stage on February 5, 2022 While Bragging About Her Many Vaccines - Controlled Opposition Group International Center for 9/11 Justice Launches on June 12, 2023: 2:10:08 13. Conclusions and More Coincidences to Explore Further: 2:12:35 - Trump Born when Sun was in Between Taurus the Bull's Horns: 2:13:56 - Outro: 2:15:42 - PDF video notes: https://1drv.ms/b/s!As32ynv0LoaIib4SaIlGAc3UVd0t3A - HIVE video notes: https://peakd.com/hive-106474/@mes/coincidences-involving-donald-trumps-birthday - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0ElXMhiVmHKyq9IiI0SFYBk - Full MES Occult video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EX_SJASwVeZMA-CMgu6-Ox . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I start off with the linear equation of a plane and go backwards to show that, if at least one of a, b, and c are not zero, then the equation does indeed represent a plane. I show this by first assuming a is not equal to zero and writing the d term as (a d/a). Then I rewrite the equation as a dot product and simplify it further to show that it is just the vector equation of a plane. This is a good exercise and checkup on our earlier derivation of the linear equation of a plane. The timestamps of key parts of the video are listed below: - Exercise 1 + Hint: 0:00 - Solution: 0:46 - Rewriting Equation as a Dot Product: 1:55 - Obtaining a Vector Equation of a Plane: 3:54 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over determining the distance between skew lines, which are lines that are not parallel and don't intersect. To determine this, we can first interpret the skew lines as being on two parallel planes. This just means that we need to determine a single normal vector that is perpendicular to both skew lines. Then, we can simply determine a point on the skew line / parallel plane and use our point-to-plane distance formula. I double check this, as per usual, with the amazing GeoGebra 3D graphing calculator. Note that GeoGebra uses a distance formula that requires knowing both equations of the parallel planes, which I determine the second equation at the end of the video. Here is the link to the GeoGebra calculator so you can play around with it: https://www.geogebra.org/calculator/kccatfbp The timestamps of key parts of the video are listed below: - Example 10: Distance Between Skew Lines: 0:00 - Applying the Distance Formula Between a Point and a Plane: 8:08 - Graphing with GeoGebra 3D Graphing Calculator: 12:32 - GeoGebra Distance Formula Requires Equations of Both Planes: 14:47 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over an example on determining the distance between two parallel planes. The first step is to find a point on one of the planes and then next is to simply apply the distance formula between a point to a plane that I derived in my earlier video. I also double check the distance by calculating it using the amazing GeoGebra 3D graphing calculator, which you can play around with here: https://www.geogebra.org/calculator/zmwhau8b The timestamps of key parts of the video are listed below: - Example 9: Distance Between Parallel Planes: 0:00 - Applying the Distance Formula from a Point to a Plane: 1:57 - Calculating Distance with GeoGebra 3D Graphing Calculator: 6:35 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over further into conics and this time look at shifting them; and in particular Ellipses (and Circles which are also Ellipses). The basic ellipse and circle equations that I derived in my earlier videos are: x^2/a^2 + y^2/b^2 = 1 for ellipses and x^2 + y^2 = r^2 for circles with a = b = r; and are centered about the origin (0 , 0). But if we were to shift this so that the center is at a point (h , k), then what we actually end up having is x replaced with (x – h) and y replaced with (y – k). When we do this replacement we can see that in order to obtain the same shape as before we have to shift each point by h in the x-direction and by k in the y-direction. I graphically show that this is the case and thus the resulting ellipse formula is (x – h)^2/a^2 + (y – k)^2/b^2 = 1. This is a very good video in understanding how to shift and move around functions graphically so make sure to watch this video! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5NDuAuW2S7-z5mw1w View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/shifted-conics-ellipses-and-circles Related Videos: Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I Conic Sections: Hyperbolas: Example 2: Vertical Hyperbola: https://youtu.be/zBNSTkoEzFI Conic Sections: Hyperbola: Definition and Formula: https://youtu.be/UBIHovXNV9U Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M Hyperbola - Definition and derivation of the equation: x^2/a^2 - y^2/b^2 = 1: http://youtu.be/Y6iYC4VEAi0 Hyperbola Examples: http://youtu.be/LvccUMFrY3k . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I derive the formula for the distance between a point to a plane in 3D coordinates. The distance formula can be derived by taking the scalar projection of a vector from a point on the plane to the desired point and projecting it onto the normal vector perpendicular to the plane. We can then utilize the geometric interpretation of the dot product to get a formula involving cosine and our desired distance. Further algebraic simplification yields the distance formula. The timestamps of key parts of the video are listed below: - Example 8: Distance from a Point to a Plane: 0:00 - Distance = Absolute Value of Scalar Projection: 1:15 - Distance Formula: 10:20 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I show that two non-parallel planes form a line of intersection and show how to determine its equation. I also show the reverse procedure as well, that is, if we are given an equation of a line, then we can determine the equations of 2 planes that intersect to form this. This is readily evident when we are given the symmetric (or parametric) equations of a line. I also graph out the many equations of intersecting planes derived from a single line using the amazing GeoGebra 3D graphing calculator: https://www.geogebra.org/calculator/kttfn3pk The timestamps of key parts of the video are listed below: - Note 1: Two Linear Equations Can Represent a Line: 0:00 - Graphing Four Equations of Planes with GeoGebra 3D Graphing Calculator: 5:17 - Symmetric Equations of a Line = Two Planes: 6:40 - Note 2: Line of Intersection from Two Parametric Planes: 7:59 - Graphing Five Planes Intersecting to form One Line: 10:32 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over parallel and non-parallel planes and go over an example on finding the angle between two non-parallel planes. Two planes are parallel if their normal vectors are parallel. If they are not parallel then they intersect in a straight line and form an angle between their 2 normal vectors. I go over an example on determining the angle between 2 non-parallel planes as well as finding the symmetric equations of their line of intersection. And as always, I double check my work using the amazing GeoGebra 3D graphing calculator, which you can play around with here: https://www.geogebra.org/calculator/kttfn3pk and here: https://www.geogebra.org/calculator/kttfn3pk. The timestamps of key parts of the video are listed below: - Parallel Planes: 0:00 - Example 7: 4:18 - Solution to 7a: Angle Between Planes: 4:42 - Graphing with GeoGebra 3D Graphing Calculator: 9:15 - Solution to 7b: Symmetric Equations of Line of Intersection: 9:57 - Graphing with GeoGebra: 18:55 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over the linear equation of a plane, which involves rewriting and simplifying the scalar equation of a plane. I do this by starting with the scalar equation of a plane and then collecting all like terms and replacing the constants addition with a single letter "d", thus obtaining the linear equation of a plane in the form: ax + by + cz + d = 0. I also do 2 examples on planes to illustrate this concept. The first example involves finding the equation of a plane when given 3 points on the plane. The second example involves finding the point of intersection of a line and plane, whose equations are both given. And as always, I graph out the results using the amazing GeoGebra 3D graphing calculator as a double check of my work. You can play around with the calculator via these links: https://www.geogebra.org/calculator/mm6t7n4q and https://www.geogebra.org/calculator/raqsvnad. The timestamps of key parts of the video are listed below: - Linear Equation of a Plane: 0:00 - Example 5: Determine Equation of a Plane 3:18 - Graphing Plane with GeoGebra 3D Graphing Calculator: 11:28 - Example 6: Find Point At Intersection of Line and Plane 12:46 - Graphing with GeoGebra: 17:20 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over planes in 3D and derive the vector equation of a plane and then convert that into scalar equations of a plane. A plane can be described by a point on the plane and a vector perpendicular to the plane. This perpendicular or orthogonal vector is called a normal vector. We can obtain a formula for the plane by noting that the dot product is equal to zero for perpendicular vectors. And then we can take a vector on the plane and towards the point on the plane and compute the dot product with the normal vector to obtain the vector equation of a plane. If we expand this vector equation by writing out its components and expanding out the dot product, we obtain the scalar equation of a plane. I also go over an example on determining the equation of a plane, and as usual use the amazing GeoGebra 3D graphing calculator to graph out the plane. You can play around with the GeoGebra calculator here: https://www.geogebra.org/calculator/yrgywmbr The timestamps of key parts of the video are listed below: - Vector Equation of a Plane: 0:00 - Scalar Equation of a Plane: 6:02 - Example 4: 8:02 - Graphing Plane with GeoGebra 3D Graphing Calculator: 13:38 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In #PizzaGate Part 32 I go over my recent Saga with Reddit’s r/Conspiracy in which I was banned and then unbanned; as well as illustrate how the Tamera Luzzatto rabbit hole has deepened. I had initially been working on this video several weeks ago and it was supposed to be on the *alleged* hacker that found “Cheese Pizza” aka CP on Comet Ping Pong’s server but then I realized there were many more background topics to cover first, such as the *alleged* threat by James Alefantis towards PizzaGateGearRyan and also just the overall background context on James Alefantis and the strangely powerful Alefantis family lineage. But in the making of that video I got notified by Reddit’s r/Conspiracy forum that I was BANNED from the forum! So then I was working on that video, and in the middle of that video I was notified by an Insider with close ties to the Moderators at r/Conspiracy, and whom I like to call my very own “QAnon”, that the ban was actually due to a misunderstanding which then was resolved peacefully! Thus I deleted the video that I was making while literally in the middle of it. When I got banned, initially I thought it was due to my post about the infamous Tamera Luzzatto “pool entertainment” email and connected DISTURBING baby blogs “Evie’s Cribs” and “Jack’s Place”. I thought this because the Luzzatto email is literally avoided by EVERY MSM outlet. Also given my previous experience with getting banned from r/911Truth for promoting the truth of 9/11, which is #FreeEnergy; see #911Truth Part 3, I thought censorship was just rearing its ugly head once again. And especially since the moderator that banned me from r/911Truth is also a former r/Conspiracy moderator! But it turns out that the likely scenario was actually due a misunderstanding of r/Conspiracy’s new “Rule 13: Submission Statement” and Reddit’s “Self-Promotion” Guidelines. And combined with me taking it to Twitter right away without messaging the moderators first, I had angered a few people within the forum. But luckily my QAnon helped all to understand each other’s position, and I have since apologized and deleted my Tweet regarding the ban. Reddit is a GIANT website, thus it is important to make a presence there to the message you want heard. That is why even though I am unbanned, I will still be running my newly created r/ConspiracyMES forum to serve as what a conspiracy forum should be! I also have created v/ConspiracyMES on Voat because, as I argue in the video, and the Baphomet symbolism suggests, Voat likely won’t be that censorship-resistant if it had as much traffic as Reddit… Moving on, I’ve learned that the Tamera Luzzatto rabbit hole deepens! New potentially BOMBSHELL info such as the “Evie’s Crib” disturbing tags (such as Baby Ambien (Sedative), Public Intoxication, Parental Manipulation, Tranquilizers”), possible Occult lineages, and Luzzatto praise of Democrat Senator Al "Groping" Franken, means I will be investigating further! Stay Tuned for #PizzaGate Part 33… Video Notes: https://peakd.com/@mes/pizzagate-part-32-mes-vs-reddit-saga-tamera-luzzatto-rabbit-hole-comet-ping-pong-hacker Related Videos: View full #Pizzagate series: https://peakd.com/pg/@mes/videos #PizzaGate Part 31: Hollywood Victims Speak Out! #PedoWood + Weinstein + Mind Control: https://hive.blog/pizzagate/@mes/pizzagate-part-31-hollywood-victims-speak-out-pedowood-weinstein-mind-control #PizzaGate Part 29: Pool Entertainment Luzzatto Email + WikiLeaks + 9/11 + MORE: https://hive.blog/pizzagate/@mes/video-notes-pizzagate-part-29-pool-entertainment-luzzatto-email-wikileaks-9-11-more #911Truth video series: https://peakd.com/truth/@mes/911 #Occult video series: https://mes.fm/occult-playlist . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes Gab: https://gab.ai/matheasysolutions Minds: https://minds.com/matheasysolutions Twitter: https://twitter.com/MathEasySolns Facebook: https://fb.com/MathEasySolutions LinkedIn: https://mes.fm/linkedin Pinterest: https://pinterest.com/MathEasySolns Instagram: https://instagram.com/MathEasySolutions Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over an example on determining whether 2 lines with given parametric equations are skew lines; which are lines that do not intersect and are not parallel. By looking at the direction vectors of each line, I note that the given lines are not parallel because their vector components are not scalar multiples of each other (aka they are not proportional). If the lines are not skew then they would have a point of intersection, in which case there would then exist a point (x, y, z) that is on both lines. If we then equate the corresponding coordinate parametric equations, we should get a solution. But in this case, we get a contradiction in one of the equations, thus we are dealing with skew lines! I also graph out the lines using the GeoGebra 3D graphing calculator and indeed they do not intersect. The timestamps of key parts of the video are listed below: - Example 3: Skew Lines: 0:00 - Solution to Example 3: 0:45 - Graphing Lines with GeoGebra: 10:10 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over the vector equation of a line segment instead of the entire line. I first start off with an example involving parametric equations and noting that setting the parameter t = 0 gets the first point on the line, while setting it to t = 1 gets the second point. From this fact, we can start off with our usual vector equation of a line and then describe it using our desired starting and ending vector, which point to the 2 positions of a line we want. Then we can just impose the interval of the parameter t to be from 0 to 1 to get our desired line segment! The timestamps of key parts of the video are listed below: - Parametric Equations of a Line Segment Example: 0:00 - General Vector Equation of a Line Segment: 5:32 - Summary of Equation of a Line Segment: 11:58 - Note on t = 0 and t = 1: 12:40 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over what direction numbers and symmetric equations of a line are. Direction numbers are the components of the parallel vector in a vector equation of a line. We can use any three numbers that are proportional to the direction numbers and still get the same line. This is because the vector and parametric equations of a line are not unique. The symmetric equations involve taking out the parameter t from each of the three parametric equations and then equating them to get equations that are symmetric, as the name implies. If one of the direction numbers is 0, then the symmetric equations can be simplified by having that coordinate equal to the corresponding point on the line. I also go over an example on finding the parametric and symmetric equations of a line that passes through the points (2, 4, -3) and (3, -1, 1) and then determine the point it intersects the xy-plane. And as usual, I graph out the line using the amazing Desmos 3D graphing calculator: https://www.geogebra.org/calculator/cwrevexn The timestamps of key parts of the video are listed below: - Direction Numbers: 0:00 - Symmetric Equations of a Line: 3:40 - Symmetric Equations if a Direction Number is Zero: 7:00 - Example 2: 9:21 - Solution to 2(a): 9:46 - Solution to 2(b): 15:34 - Note on Example 2: 20:30 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I convert the vector equation of a line into its parametric equations form. To do this I first expand the vector equation by writing out its components and then summing them up. Then I equate each x, y, and z coordinate with its corresponding components resulting in 3 equations. These 3 equations are called the Parametric Equations of a line. I also go over an example on finding the vector and parametric equations of a line that passes through the point (5, 1, 3) and is parallel to the vector [1, 4, -2]. Finally, I graph the line using the amazing GeoGebra 3D graphing calculator, which you can play around with here: https://www.geogebra.org/calculator/wszwnpme The timestamps of key parts of the video are listed below: - Parametric Equations of a Line: 0:00 - Example 1: 4:31 - Solution to 1(a): 4:57 - Solution to 1(b): 13:03 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over the vector equation of a line in 3D space. The method is similar to that of a line in 2D using the point-slope method. In 2D, a line is determined when a point on the line and the line's slope is known. Similarly, a line in 3D can be determined using vectors when a point on the line and a vector parallel to the line is known. The parallel vector can be multiplied by a scalar so that we can then find any point on the 3D line. The timestamps of key parts of the video are listed below: - Line in the xy-Plane: 0:00 - Vector Equation of a Line: 1:17 - Parameter t: 6:49 This video was taken from my earlier video listed below: - Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8 - Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV Related videos: Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over equations of lines and planes in 3D coordinates. This section is part of my calculus book chapter titled Vectors and the Geometry of Space. In 2D coordinates, a line can be described by a point on the line and its slope or direction. Similarly, a line in 3D coordinates can be described by a point on the line and a vector parallel to it which thus serves as the direction. A plane in 3D coordinates is described by a point on the plane and a vector perpendicular to the plane. The plane equation utilizes the fact that the dot product of two perpendicular vectors is equal to zero. Furthermore, the cross product is also used in determining the perpendicular vector, termed a normal vector. I go through several related concepts, such as scalar and vector equations of lines, segments of lines, and linear equations of planes, as well as many examples to give a thorough examination of 3D lines and planes. The topics covered as well as their timestamps are listed below. - Introduction: 0:00 - Calculus Book Reference: 1:13 - Sections in Calculus Book Chapter: 1:27 - Topics to Cover: 2:28 1. Lines: 3:42 - Vector Equation of a Line: 5:00 - Parametric Equations of a Line: 12:50 - Example 1: 17:22 - Solution to 1(a): 17:49 - Solution to 1(b): 25:55 - Direction Numbers: 28:08 - Symmetric Equations of a Line: 31:49 - Example 2: 37:29 - Solution to 2(a): 37:54 - Solution to 2(b): 43:43 - Note on Example 2: 48:38 - Equation of a Line Segment: 50:24 - Example 3: 1:04:16 2. Planes: 1:15:15 - Vector Equation of a Plane: 1:15:32 - Scalar Equation of a Plane: 1:21:13 - Example 4: 1:23:14 - Linear Equation of a Plane: 1:29:40 - Example 5: 1:32:58 - Example 6: 1:42:27 - Parallel Planes: 1:48:18 - Example 7: 1:52:34 - Solution to 7(a): 1:52:58 - Solution to 7(b): 1:58:13 - Note 1: Two Linear Equations Can Represent a Line: 2:08:20 - Note 2: Line of Intersection from Two Parametric Planes: 2:16:18 - Example 8: Distance from a Point to a Plane: 2:19:55 - Example 9: 2:30:45 - Example 10: 2:38:04 - Exercise 1: 2:55:19 - PDF video notes: https://1drv.ms/b/s!As32ynv0LoaIiecyXiOIVbA_nizjLQ - HIVE video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes - Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV - Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ Related Videos: Discovery Project: The Geometry of a Tetrahedron: https://peakd.com/hive-128780/@mes/discovery-project-geometry-of-a-tetrahedron The Cross Product: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-cross-product The Dot Product: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-dot-product Complex Numbers as Rotation Matrices: https://peakd.com/hive-128780/@mes/complex-numbers-as-rotation-matrices Vectors: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-vectors 3D Coordinate Systems: https://peakd.com/hive-128780/@mes/vector-space-and-geometry-3d-coordinate-systems . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over further into shifted conics and this time shift Parabolas. The procedure for shifting parabolas is the same as that for ellipses, which I covered in my earlier video. This is done by simply replacing x and y with (x – h) and (y – k). This means that in order to obtain the basic x and y values, we need to add h to the horizontal component and k to the vertical component. Thus we effectively shift the function horizontally and vertically. For the parabola y = ax^2, with the vertex at the origin, this can be shifted so that the vertex is (h, k) by re-writing the formula (y – k) = a(x – h)^2 or y = a(x – h)^2 + k. Although this is very similar to the case for an ellipse, it is nonetheless important to understand this concept through applying it to different functions, such as in this case a parabola, so make sure to watch this video! Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIh5Vqjg-jPzl6_SRXlw View video notes on the Hive blockchain: https://peakd.com/mathematics/@mes/shifted-conics-parabolas Related Videos: Shifted Conics: Ellipses (and Circles): https://youtu.be/ZqtUfaQbj7U Equation of a Circle and it's proof: http://youtu.be/xMXYJ9UeF4I Conic Sections: Hyperbolas: Example 2: Vertical Hyperbola: https://youtu.be/zBNSTkoEzFI Conic Sections: Hyperbola: Definition and Formula: https://youtu.be/UBIHovXNV9U Conic Sections: Parabolas: Definition and Formula: https://youtu.be/kCJjXuuIqbE Conic Sections: Ellipses: Definition and Derivation of Formula (Including Circles): https://youtu.be/9dETsJ2tz_M Hyperbola - Definition and derivation of the equation: x^2/a^2 - y^2/b^2 = 1: http://youtu.be/Y6iYC4VEAi0 Hyperbola Examples: http://youtu.be/LvccUMFrY3k . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In #MESExperiments 30 I continue with the the GyroTop magnetic spinning top from Experiments 28 and 29, and this time showcase that it behaves the same way with gravity as it does with magnetic attraction. I demonstrate this by turning the GyroTop side-ways and then slowly extending it outwards so that the magnetic attraction becomes less while the downward force of gravity plays a more dominant role. One would expect that the spinning top would fall downwards as it extends further away from the magnetic but counterintuitively it rises upwards against gravity! This is similar to its tendency to move opposite of the magnetic attraction, and the direction the GyroTop points can be considered as opposite of the vector sum of both gravity and magnetism. Truly remarkable stuff! The timestamps of key moments of the experiment are listed below. 1. Spinning up the GyroTop: 0:00 2. Gradually Extending the GyroTop from a Horizontal Position: 0:33 3. Gradually Pulling Back the GyroTop from its Risen Position: 1:14 4. Extending the GyroTop Even Further: 1:21 5. Pulling Back the GyroTop Again: 1:45 6. GyroTop Hits the Magnetic Base: 1:57 Stay tuned for #MESExperiments 31... View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/mesexperiments-30-magnetic-spinning-top-aligns-opposite-of-gravity-and-magnetism View more experiments! - #MESExperiments video series: https://peakd.com/mesexperiments/@mes/list - DRAFT #MESExperiments video series: https://mes.fm/experiments-draft Related Videos: #MESScience video series: https://mes.fm/science-playlist #AntiGravity video series: https://peakd.com/antigravity/@mes/series #FreeEnergy video series: https://mes.fm/freeenergy-playlist 🔬#MESExperiments 28: Magnetic Spinning Top Aligns Opposite of Magnetic Attraction: https://peakd.com/hive-128780/@mes/mesexperiments-28-magnetic-spinning-top-aligns-opposite-of-magnetic-attraction 🔬#MESExperiments 27: Spin Friction Can Make Gyroscope Rise from Steep 70° Angle (No Casing Rotation) 🔬#MESExperiments 25: Increasing Spin Friction Can Make Gyroscopes Rise Much Faster: https://peakd.com/hive-128780/@mes/mesexperiments-25-increasing-spin-friction-can-make-gyroscopes-rise-much-faster 🔬#MESExperiments 13: Steepest Gyroscope Rising Experiment Ever! 74 Degrees from the Vertical: https://peakd.com/mesexperiments/@mes/mesexperiments-13-steepest-gyroscope-rising-experiment-ever-74-degrees-from-the-vertical-magic 🔬#MESExperiments 3: Gyroscopes Exert 'Inertial Forces' With ZERO Loss of Spin Rate: https://peakd.com/mesexperiments/@mes/mesexperiments-3-gyroscopes-exert-inertial-forces-with-zero-loss-of-spin-rate-freeenergy 🔥#MESScience 1: How Does a Powerball Gyroscope Work? + Gyros Are Inverted Pendulums: https://peakd.com/messcience/@mes/messcience-1-how-does-a-powerball-gyroscope-work-gyros-are-inverted-pendulums ☝#AntiGravity Part 6: Objects in Rotation Defy ‘Mainstream’ Physics + MES Duality Concept: https://ecency.com/antigravity/@mes/antigravity-part-6-video-1-objects-in-rotation-defy-mainstream-physics-mes-duality-concept . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I provide my conclusions after reviewing the main paper on COVID-19 "virus" isolation and conclude that there was very little "isolating" being done. The paper involves a handful of patients assumed to have a "viral" infection of "unknown cause". Samples taken from the patients were assumed to contain a "virus". Genetic sequencing of non-isolated particles came up with a list of molecules (aka a "genome") and after comparing with other genomes, a "new virus" was "identified". The patient samples were then heavily processed in a complex procedure involving many different chemicals, cells, heavy metals, and then fixed with preservatives in a resin block. Optical light microscopy shows unclear images of supposed "cytopathic effects", and alleged "mock-infected" controls were not explained in any detail. High powered Electron microscope images of the heavily processed material showed blurry images of dead particles, which the authors assume to be "virions". Besides the need to examine the mainstream genetic sequencing science in depth, there was very little evidence in the paper of anything significant, and much less a "disease-causing invisible particle that can jump from person to person". Some interesting "coincidences" that occurred during this COVID-19 psychological operation include China's new strict vaccine law coming into effect on December 1, 2019, the same day that the alleged "Patient Zero" developed symptoms. And then on New Year's Eve December 31, 2019, the China CDC sends their rapid response team to Wuhan... And "wuhan" itself can be rearranged to form the word "human", aka a human-contrived psychological operation. And of course the paper ends by foreshadowing the global mind-control propaganda that was to follow soon after urging the public to "prevent, control, and stop the spread of 2019-nCoV"... The paper is listed below: - A Novel Coronavirus from Patients with Pneumonia in China, 2019 - Authors: Na Zhu et al - Published on January 24, 2020 in The New England Journal of Medicine (NEJM) - https://www.nejm.org/doi/full/10.1056/NEJMoa2001017 The timestamps of key parts of the video are listed below: - MES Conclusions: 0:00 - December 1, 2019: China Vaccine Law and "Patient Zero": 1:40 - MES Anagram: Wuhan = Human: 2:11 This video is taken from my earlier video listed below: - 🔥#MESScience 4: Review of COVID-19 "Virus" Isolation Paper: https://youtu.be/cvDO85Rw4d8 - Video notes: https://peakd.com/hive-128780/@mes/messcience-4-review-of-covid-19-virus-isolation-paper - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E4aQ_cq4ZDD2WGiDU5vVgx Related Videos: 🔥#MESScience: MES Science Tutorials: https://mes.fm/science-playlist . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over a summary of the main paper on COVID-19 "virus" isolation while only focusing on the paper's main claim of a "new disease-causing virus". ChatGPT had selected this paper as being the main paper on COVID-19 "virus" isolation and indeed this was the original and highly cited report by the China CDC Wuhan investigation team. I summarize all the key methods and claimed evidence provided in the report such as the chest radiographs, the heavily processed cell cultures with assumed "infection" from patient sample supernatants, and electron microscope images of dead heavy metal stained supernatants and cell cultures. I also include the claims of initial sequencing of "new viral RNA" in the supernatants, and the final computer generated "new virus genome". The paper and methods are very obscure and there is little evidence of anything significant, much less a "disease-causing new virus". The paper is listed below: - A Novel Coronavirus from Patients with Pneumonia in China, 2019 - Authors: Na Zhu et al - Published on January 24, 2020 in The New England Journal of Medicine (NEJM) - https://www.nejm.org/doi/full/10.1056/NEJMoa2001017 The timestamps of key parts of the video are listed below: - MES Summary: 0:00 - ChatGPT on the Main COVID-19 "Virus" Isolation Paper: 0:42 - Chest Radiographs of a Wuhan Pneumonia Patient: 1:47 - 4 Airway Samples Taken and "Unknown Viral RNA" Discovered: 2:39 - Cell Culture Supernatant Assumed to "Isolate the Virus": 4:01 - "Mock-Infected" vs "New Virus Infected" Cell Cultures: 6:41 - Supernatant and Cell Cultures were then "Fixed" with Chemical Preservatives: 7:18 - Electron Microscope Images of Heavy Metal Stained Supernatant and Cell Cultures: 9:11 - RNA Extracted Assumed to be from a "Virus": 10:33 - "New Virus" Genome and Phylogenetic Tree: 11:27 This video is taken from my earlier video listed below: - 🔥#MESScience 4: Review of COVID-19 "Virus" Isolation Paper: https://youtu.be/cvDO85Rw4d8 - Video notes: https://peakd.com/hive-128780/@mes/messcience-4-review-of-covid-19-virus-isolation-paper - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E4aQ_cq4ZDD2WGiDU5vVgx Related Videos: 🔥#MESScience: MES Science Tutorials: https://mes.fm/science-playlist . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps

In this video I go over the discussion section of the main paper on COVID-19 "virus" isolation. The discussion section outlines the authors' alleged claims of a "new virus" and the follow-ups suggested for supposedly tracking and stopping the "spread" of this alleged "virus" and its associated alleged disease. The new "virus" is claimed to have been identified via whole-genome sequencing, direct PCR, and cell cultures. The genome was then submitted to the GISAID and compared with other "coronaviruses" before claiming it is separate from the other previously known "viruses". The electron microscope images of blurry particles were assumed to be this new "virus". Specific sequences from the alleged "new virus genome" were then selected and submitted to the WHO for "detecting" this new "virus" in the general population; which the authors state 830 people in China have already tested "positive" as of the paper's publishing. The authors admit their paper doesn't fulfill Koch's postulates and instead claim their study only "implicates" the "new virus" in the Wuhan "outbreak". The paper highlights additional experiments to confirm this claim of a "disease-causing new virus". These experiments include antigen detection in the lung tissue of patients, antibody detection in the blood of patients, and animal (monkey) experiments to demonstrate that the "virus" actually causes disease. Finally the paper concludes with the now infamous psychological mind control operation cliché of the alleged importance to "prevent, control, and stop the spread of 2019-nCoV"... The paper is listed below: - A Novel Coronavirus from Patients with Pneumonia in China, 2019 - Authors: Na Zhu et al - Published on January 24, 2020 in The New England Journal of Medicine (NEJM) - https://www.nejm.org/doi/full/10.1056/NEJMoa2001017 The timestamps of key parts of the video are listed below: - "New Virus" Detected via Sequencing, PCR, and Culture: 0:00 - Direct PCR: 1:12 - Next-Generation Sequencing and Bioinformatics Accelerating Detection of "Pathogens": 1:23 - Bioinformatics: 2:32 - Electron Microscopy and Genome Sequencing Visualized and Detected the "New Virus": 2:52 - Koch's Postulates, Asymptomatic Carriers: 4:43 - Additional Experiments Needed: Immunohistochemical Analysis, Animal Experiments: 6:54 - 2019-nCoV Antigen, Immunohistochemical (IHC) Analysis, Seroconversion: 7:58 - Summary of Paper Discussion: 10:52 This video is taken from my earlier video listed below: - 🔥#MESScience 4: Review of COVID-19 "Virus" Isolation Paper: https://youtu.be/cvDO85Rw4d8 - Video notes: https://peakd.com/hive-128780/@mes/messcience-4-review-of-covid-19-virus-isolation-paper - Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0E4aQ_cq4ZDD2WGiDU5vVgx Related Videos: 🔥#MESScience: MES Science Tutorials: https://mes.fm/science-playlist . ------------------------------------------------------ SUBSCRIBE via EMAIL: https://mes.fm/subscribe DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate Like, Subscribe, Favorite, and Comment Below! Follow us on: MES Truth: https://mes.fm/truth Official Website: https://MES.fm Hive: https://peakd.com/@mes MORE Links: https://linktr.ee/matheasy Email me: contact@mes.fm Free Calculators: https://mes.fm/calculators BMI Calculator: https://bmicalculator.mes.fm Grade Calculator: https://gradecalculator.mes.fm Mortgage Calculator: https://mortgagecalculator.mes.fm Percentage Calculator: https://percentagecalculator.mes.fm Free Online Tools: https://mes.fm/tools iPhone and Android Apps: https://mes.fm/mobile-apps