The position vectors of the points A, B,C and D are given by a, b, c and

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The position vectors of the points A, B,C and D are given by a, b, c and d, respectively, where

a. i. Find

ii. Deduce that ABCD is a parallelogram

b. Find the coordinates of

i. The point M, the midpoint of the line AB

ii. the point P such that

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