OPQ is a triangle in which OP=p and OQ=q. X is a point on OP such that OP: XP = 5: 2 and Y is...

OPQ is a triangle in which OP=p and OQ=q. X is a point on OP such that OP: XP = 5: 2 and Y is another point on PQ such that PY: YQ = 1: 2. Lines OY and XQ intersect at T.
a) Express the following vectors in terms of p and q
(i)PQ
(ii)OY
(iii)QX
(b)If OT = k OY and QT = h QX express OT in two different ways. Hence or otherwise find the values of h and k.
(c) Determine the ratio OT: TY.

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Kavungya answered the question on September 24, 2019 at 11:33

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