## 0606/21/M/J/16 Q7

Question

7. O, P, Q and R are four points such that OP = p, OQ = q and OR = 3q – 2p.

(i) Find, in terms of p and q,

(a) PQ,

(b) QR.

(ii) Justifying your answer, what can be said about the positions of the points P, Q and R?

(iii) Given that OP = i + 3j and that OQ = 2i + j, find the unit vector in the direction OR.

## Answer ( 1 )