Properties of the Cross Product

In this video I go over properties of the cross product and show where they are similar to typical multiplication and where they differ. The first set of properties I cover are using the standard basis vectors. I also go over Theorem 3 which has a list of 6 important properties or identities involving the cross product. Lastly, I provide a proof of Property 5, which is also known as the scalar triple product.

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

- Properties of the Cross Product: 0:00
- Theorem 3: 10:33
- Proof of Property 5: 12:30

This video was taken from my earlier video listed below:

- Vectors and the Geometry of Space: The Cross Product: https://youtu.be/k8GRt95i-Gc
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-cross-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FuRJ8rg-YVQvfPoPOwhuRW

Related Videos:

Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .

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