The position vectors of points P and Q are p = 2i + 5j and q = 8i + j respectively. The point M is the midpoint of PQ. What is the position vector of M?

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Question

The position vectors of points P and Q are p = 2i + 5j and q = 8i + j respectively. The point M is the midpoint of PQ. What is the position vector of M?

Accepted Answer

5i + 3j — Award 1 mark for correct answer. The position vector of the midpoint is m = ½(p + q) = ½[(2i + 5j) + (8i + j)] = ½(10i + 6j) = 5i + 3j. B is incorrect — student forgot to divide by 2. C is incorrect — student subtracted instead of adding. D is incorrect — arithmetic error in calculation.

Answer

3i + 2j

Answer

5i + 3j

Answer

6i - 4j

Answer

10i + 6j

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