Properties of Vectors

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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:

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