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1. The problem statement, all variables and given/known data

Given nonzero vectorsu,v, andw, use dot product and cross product notation to describe the following.

- A vector orthogonal to
uXvanduXw- A vector orthogonal to
u+vandu-v- A vector of length |
u| in the direction ofv- The area of the parallelogram determined by
uandw

2. Relevant equations

3. The attempt at a solution

- (
uXv) X (uXw)- (
u+v) X (u-v)- |
u|v- |
uXw|

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# Multi-Variable Calculus: Cross Product Expressions

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