Cross products | Essence of linear algebra, Chapter 8
This covers the main geometric intuition behind the 2d and 3d cross products. *Note, in all the computations here, I list the coordinates of the vectors as columns ...
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Last video, I've talked about the dot product. Showing both the standard introduction to the topic, as well as a deeper view of how it relates to linear transformations. I'd like to do the same thing for cross products, which also have a standard introduction along with a deeper understanding in the light of linear transformations. But this time I am dividing it into two separate videos. Here i'll try to hit the main points that students are usually shown about the cross product. And in the next video, I'll be showing a view which is less commonly taught, but really satisfying when you learn it. We'll start in two dimensions. If you have two vectors v̅ and w̅, think about the parallelogram that they span out What i mean by that is, that if you take a cop...
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Last video, I've talked about the dot product. Showing both the standard introduction to the topic, as well as a deeper view of how it relates to linear transformations. I'd like to do the same thing for cross products, which also have a standard introduction along with a deeper understanding in the light of linear transformations. But this time I am dividing it into two separate videos. Here i'll try to hit the main points that students are usually shown about the cross product. And in the next video, I'll be showing a view which is less commonly taught, but really satisfying when you learn it. We'll start in two dimensions. If you have two vectors v̅ and w̅, think about the parallelogram that they span out What i mean by that is, that if you take a cop...
