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 Form 3 Mathematics: Vectors II Questions and Answers

The figure below shows triangle OAB in which M divides OA in the ratio 2:3 and N divides OB in the ratio 4:1. AN and BM intersect at X.
(a) Given that OA=a and OB=b, express in terms of a and b:
(i) AN
(ii) BM
(b) If AX=sAN and BX=tBM, where s and t are constants, write two expressions for OX in terms of a, b, s and t.
Find the values of s. hence write OX in terms of a and b.

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