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Let A(1, 2), B(3,-1) and C(1, 1) be three points on the plane. (a) Find the vectors u = AB, v = CA and

 

Let A(1, 2), B(3,-1) and C(1, 1) be three points on the plane. (a) Find the vectors u = AB, v = CA and w = BC in terms of their coordinates (i.e. components). (b) Compute the vector u + v + w. (c) Compute the vector u - 2v + 3w. (d) If D is a point such that AD = u - 2v + 3w, then find the coordinates of the point D.

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