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(a) If A, B and C are the points (2, -4), (4,0) and (1,6) respectively, use the vector method to find the coordinates of the points D given that ABCD is a parallelogram.
(b) The position vectors of points P and Q are p and q respectively. R is another point with
position vector, #r=3/2 q- 1/2 p#. Express in terms of p and q
(i) PR
(ii) RQ, hence show that P, Q and R are collinear.
(iii) Determine the ratio PQ:QR