Find the length and direction (when defined) of u times v and v times u. The len

Question

Find the length and direction (when defined) of u times v and v times u. The length of u times v is (Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The direction of u times v is (Type exact answers, using radicals as needed.) The direction of u times v is undefined. The length of v times u is. (Type an exact answer, using radicals as needed.) Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. The direction of v times u is (Type exact answers, using radicals as needed.) The direction of v times u is undefined.

Explanation / Answer

u x v = -2i x -5j = 10 (i x j) = 10 k

length = 10

A.) u x v = 0 i + 0 j + 10 k

v x u = -5j x -2i = 10 (j x i) = - 10 k

length = 10

A.) v x u = 0 i + 0 j + (-10) k

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