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Consider the coordinates and the vectors A(2,-2,0), B(2,5,-2), C(-5, 1,0) u = -1i + 6k, v = -li + 1j - 5k, w = 1i - 2j + 4k. a) Find the vectors AB and BC. b ) Using your answer to part (a), determine the area of the parallelogram which has adjacent sides AB and BC. c) Are the vectors v and w parallel, perpendicular, or neither? Justify your answer. d) Find the vector projection of u in the direction of w