In the figure above vector OA = a and OB = b. P is the midpoint of OA and Q divides OB in the ratio 2:1. a) Express the following vectors in terms of a and b i. BP ii. AQb) Lines BP and AQ intersect at R such that BR = mBP and AR = nAQ. Where m and n are constants. Express OR in two different ways in terms of a.b, m and n. Hence find the values of m and n. c) Determine the ratio AR:RQ and hence using the ratio theorem in triangle OAQ, write OR in terms of a and b.
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