The figure below shows triangle OPQ in which OP = P and OQ = p. M and N are points on OQ and OP respectively...

The figure below shows triangle OPQ in which OP = P and OQ = p. M and N are points on OQ and OP respectively such
that ON:NP = 1:3 and OM:MQ = 2:1

(a) Express the following vectors in terms of p and q
(i) PM
(ii) QN
(iii) PQ
(b) Lines PM and QN intersect at X such that PX = hPM and QX = kQN. Express OX in two different ways and hence
find the value of h and k.
(c) OX produced meets PQ at Y such that PY :YQ = 3:2. Using the ratio theorem or otherwise, find OY in terms of P and q

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sharon kalunda answered the question on May 6, 2019 at 07:48

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