CROSS PRODUCT TEACH-O-MATIC
By Zach Barth
go to Dot Product Teach-O-Matic
OMGREADMENOTE: The area in pink is the NORM of uxv, not uxv itself.
Unlike dot product, cross product creates a vector (well, pseudo-vector), NOT A "RECTANGULAR" SCALAR! This resultant vector is always orthogonal to two crossed vectors and will have a length of ||u|| * ||v|| * sin(theta), which remarkably resembles dot product.
Important stuff to take note of:
* Why ||uxv|| is the area of a parallelogram *
If you look at the area (pink) that is ||uxv||, it happens to be the area of the parallelogram formed by vectors u and v (just move the triangle left of u to the right side of the area). Isn't that cool?
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