Geometric Interpretation of Cross Product and Triple Product

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Learning Objectives:
1) Find the Area of a Parallelogram
2) Find the Volume of a Parallelepiped

This video is part of a Calculus II course taught at the University of Cincinnati.

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Комментарии
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Sorry, Professor, at the beginning of the video, with the diagram you drew, isn't *a* supposed to be where *b* is and *b* supposed to be where *a* is?
The diagram you drew doesn't respect the Right-Handed Rule.

What you drew was *b* ⨯ *a* rather than *a* ⨯ *b*

ian.ambrose
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why isn't it (axc) dot (b) for the volume of the parallelepiped?

neha
Автор

Can someone please explain how can the length of a vector (cross product) which is a “1D line” be equal to the area which is 2D this is somehow confusing to me?

borissimovic