Consider the three points in R3: A (3, 2, 0), B (0, 4, 2), and C (1, 0, 5). (a) The two vectors ⃗u and ⃗v both begin at A and point to B and C, respectively. Calculate ⃗u and ⃗v. (b) Determine the angle between ⃗u and ⃗v. (c) Calculate the area of the parallelogram determined by ⃗u and ⃗v. (d) Determine the vector equation of the line which passes through the points B and C.

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(A) u = (-3,2,2) v = (-2,-2,5)

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