Vectors: Components and the Position Vector
In this video I show how we can treat vectors algebraically by introducing a coordinate system and the concept of a position vector. Since vectors are considered equivalent if they have the same magnitude and direction, then they can be placed anywhere in a coordinate system and still be equivalent. However, if we move that vector such that its tail starts from the origin, then we can consider the coordinates of it's arrow head as the "components" of that vector; which we can represent using triangle brackets and call the "position vector". We can calculate the position vector from any vector that is offset away from the origin by subtracting each of the x, y, and z components from each other from the tail to arrow head coordinates. I also illustrate this concept with an example at the end of the video.
The timestamps of key parts of the video are listed below:
- Components: 0:00
- Equivalent Vectors: 3:00
- Position Vector: 7:09
- Equation 1: 13:10
- Example 3: 13:44
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: Vectors: https://youtu.be/0lJiVlKw4Kc
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-vectors
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0EiRECLVkBCcFhSpbSz8XIw
Related videos:
Vectors and 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
-
16:34
Math Easy Solutions
17 days ago $0.13 earnedOrganic Compounds: Amino Acids, Peptides, and Proteins
1801 -
1:15:36
Patriots With Grit
19 hours agoWill Their Great Reset Backfire? | Larry Ballard
30.4K31 -
1:00:13
The Squad
1 day agoMckenna To Man Utd ON! ✅ Man Utd Will Get DESTROYED By Man City! 🥲 Arsenal To Sign Brobbey?!
23K6 -
7:30
Adam Does Movies
19 hours agoFuriosa: A Mad Max Saga Movie Review - Cinema Has Returned!
36.8K46 -
9:59
Silver Dragons
1 day agoBullion Dealer on Silver’s BIGGEST MOVE in a Decade
45.7K38 -
17:32
JoBlo Originals
1 day agoWhat Happened to DANNY GLOVER?
46.2K24 -
22:14
MYLUNCHBREAK CHANNEL PAGE
21 hours agoAngels Helped Build the Old World?
49.4K42 -
4:16
Chris Jericho
17 hours agoTalk Is Jericho Highlight: Joel McHale x Chevy Chase & Community
41.6K5 -
2:43:34
a12cat34dog
13 hours agoROCKIN' OUT IN THE RUMBLE CREATOR HOUSE
25.3K9 -
4:27:24
Right Side Broadcasting Network
12 days agoLIVE REPLAY: President Trump Addresses Libertarian National Convention in D.C. - 5/25/24
348K533