The points P and Q have position vectors -3i –j+17k and 8i+9j+2k respectively when referred from the origin O. (a) Evaluate OP 0Q and OP×0Q. (b) Find the position vector of the point R if (i) R is the mid-point of PQ; (ii) R lies on the line segment PQ such that PR: RQ = 2:3; (iii) R lies on PQ produced so that PR:QR = 3:2. (-155 30 1 [(a) 1, 142 2(b)(i) 8 (ii) 3 (iii) 29 -19 19 -28

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