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In the figure below, OP=p and OR=r. Vector OS=2r and OQ= #3/2#p.
(a) Express in terms of p and r:
(i) QR
(ii) PS
(b) The lines QR and PS intersect at K such that QK=mQR and PK=nPS, where m and n are scalars. Find two distinct expressions for OK in terms of p, r, m and n. Hence find the values of m and n.
(c) State the ratio PK:KS.