Properties of Vectors
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: • Vectors and the Geometry of Space: Ve...
Video notes: https://peakd.com/hive-128780/@mes/ve...
Playlist: • Vectors
Related videos:
Vectors and Geometry of Space video series: • Vectors and the Geometry of Space .
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