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The position vectors of three points A, B and C relative to an origin O are a, b and karespectively. The point P lies on AB and is such that AP = 2PB. The point Q lies on BCand is such that CQ = 6QB.a Find in terms of a and b:i the position vector of P ii the position vector of Qb Given that OPQ is a straight line, find:i the value of k ii the ratio OPPQc The position vector of a point R is 73a. Show that PR is parallel to BC.
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