OCB is a triangle. A is a point on OC such that OA : AC = 1 : 3. X is the midpoint of BC. OA = a and OB = b. Find the position vector of X. Give your answer as simply as possible in terms of a and b. [Figure 25]
- .Find the position vector of X. Give your answer as simply as possible in terms of a and b.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [3] 2a + 1/2 b final answer
- [2] B2 for BX = 2a - 1/2 b oe
- [2] B2 for CX = -2a + 1/2 b oe
- [1] M1 for a correct vector route for OX along lines of diagram
- [1] B1 for OC = 4a soi
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