arlie

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

  1. The vector projection of ⃗u onto ⃗v
  2. A vector orthogonal to ⃗u and ⃗v
  3. A vector orthogonal to ⃗u × ⃗v and ⃗w
  4. A vector orthogonal to ⃗u × ⃗v and ⃗u × ⃗w
  5. A vector orthogonal to ⃗u + ⃗v and ⃗u − ⃗v
  6. A vector of length ⃗u in the direction of ⃗v
  7. The area of the parallelogram determined by ⃗u and ⃗w

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tylar
  1. Ucos(theta) . V/|V|
  2. Let that vector be A. So A.U = A.V = 0
  3. Let that vector be A. So A.U = A.V = A.W = 0

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tylar
  • 4.) A.[ ⃗u × ⃗v] =A.[ ⃗u × ⃗w] = 0

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