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In the figure below, OABC is trapezium. AB is parallel to OC and OC=5AB. D is a point on OC such that OD:DC=3:2.
(a) Given that OA=p and AB=q, express in terms of p and q:
(i) OB
(ii) AD
(iii) CB
(b) Lines OB and AD intersect at point X such that AX=kAD and OX=rOB, where k and r are scalars. Determine the values of k and r.