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In triangle OAB, `vec ( OA)`=a, `vec (OB)`=b and P lies on AB such that AP: PB=3:5
(a) Find in terms of a and b the vectors
(i) `vec (AB)`
(ii) `vec (AP)`
(iii) `vec (BP)`
(iv) `vec (OP)`
(b) Point Q is on OP such that `AQ= -5/8 a+ 9/40 b`. Find the ratio OQ:QP