# Given nonzero vectors ⃗u, ⃗v, and ⃗w, use dot product and cross product notation, as appropriate, to describe the following

- The vector projection of ⃗u onto ⃗v
- A vector orthogonal to ⃗u and ⃗v
- A vector orthogonal to ⃗u × ⃗v and ⃗w
- A vector orthogonal to ⃗u × ⃗v and ⃗u × ⃗w
- A vector orthogonal to ⃗u + ⃗v and ⃗u − ⃗v
- A vector of length ⃗u in the direction of ⃗v
- The area of the parallelogram determined by ⃗u and ⃗w

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