Corollary: Two Vectors are Parallel If and Only If Their Cross Product is Zero

In this video, I go over a corollary to the previous video in which I determined the cross product length as equaling |a| |b| sin θ. The corollary or theorem that follows from the cross product length is that if the vectors a and b are parallel, then the angle between them are either 0 or 180 degrees or π radians. Thus, the sine term vanishes and becomes 0; and so does the cross product! This means that we can determine if any 2 vectors are parallel if and only if their cross product is equal to 0.

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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