Example on Skew Lines: Lines that Aren't Parallel and Don't Intersect
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
-
2:43:40
Math Easy Solutions
2 days agoMES Livestream 17: New Year Emergency Broadcast
1112 -
LIVE
TheAlecLaceShow
2 hours agoGuests: Dr. Eithan Haim | Sheriff Richard Mack | Biden Stays In | Dems In Panic | The Alec Lace Show
386 watching -
57:19
TheMonicaCrowleyPodcast
1 hour agoThe Monica Crowley Podcast: Independence Day Fireworks
423 -
10:45
TimcastIRL
1 day agoLeaked Documents PROVE Joe Biden Collapsing, Democrats Own Polling Show Biden Is COOKED
38.9K100 -
2:57:55
Wendy Bell Radio
7 hours agoReturn Of The King
44.5K108 -
7:27
Breaking Points
3 days ago72%: Biden 'NOT COGNITIVELY FIT' For Presidency
22.4K18 -
6:08
Caleb Hammer
28 days agoCaleb Decides To Help Out Homeless Guest Mid Show
22.5K2 -
LIVE
SoniCentric
12 hours agoHappy Fourth of July Fireworks & Patriotic Music
1,017 watching -
37:17
Digital Social Hour
3 days ago $0.02 earnedThe Real Reason Sneako Was Banned on YouTube | Sneako
49.2K23 -
12:33
Hannah Barron
20 hours agoDay in the Life with Hannah Barron!
36.9K28