Name: Properties of Vectors
Uploaded: 2023-04-27T19:08:15+00:00
Duration: 9 min 21 s
Description: In this video I go over a list of 8 properties of vectors in terms of addition and scalar multiplication. I also provide algebraic proofs for properties 1 and 2. The remaining properties, however, are

2 years ago

vectors properties of vectors vector properties associative law triangle law parallelogram law vector algebra mathematics math stem science

In this video I go over a list of 8 properties of vectors in terms of addition and scalar multiplication. I also provide algebraic proofs for properties 1 and 2. The remaining properties, however, are fairly straightforward and so I only briefly go over them. Property 1, a + b = b + a, be seen from the Parallelogram Law and Property 2 (called the associative law), a + (b + c) = (a + b) + c, can be proved by repeated use of the Triangle Law.

The timestamps of key parts of the video are listed below:

- List of 8 Vector Properties: 0:00
- Proof of Property 1: 1:39
- Proof of Property 2: 4:32
- Other Properties: 8:55

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