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 Form 3 Mathematics: Vectors II Questions and Answers

The figure below shows a parallelogram OPQR with O as the origin, OP=P and OR=r. Point T divides RQ in the ratio 1:4. PT meets OQ as S.
figvectors22720201531.JPG
(a) Express in terms of p and r, the vectors
(i) OQ
(ii) OT
(b) Vector OS can be expressed in two ways: mOQ or OT + nTP, where m and n are constants. Express OS in terms of
(i) m, p and r.
(ii) n, p and r.
Hence find the:
(iii) Value of m.
(iv) Ratio OS:SQ

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