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 Form 3 Mathematics: Vectors II Questions and Answers

In the diagram below, OABC is a parallelogram, OA=a and AB=b. N is a point on OA such that ON:NA = 1:2.
(a) Find:
(i) AC in terms of a and b.
(ii) BN in terms of a and b.
(b) The lines AC and BN intersect at X, AX=hAC and BX=kBN.
(i) By expressing OX in two ways, find the values of h and k.
(ii) Express OX in terms of a and b.

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