Mathematics · May / June 2025 · Paper 22 · Question 23
0580
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0580/22/M/J/25 © UCLES 2025 23 NOT TO SCALE A O Í b a ı C In the diagram, OA is parallel to ÍC. ÍC 3OA ı is the midpoint of AC. The position vector of A is a and the position vector of Í is b. Find the position vector of ı. Give your answer in terms of a and b, in its simplest form. [3]
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2a + 1 b final answer 2 [3]
B2 for a correct route in terms of a and b not in its simplest form AM (or 1 AC ) = a + 1 or for b oe 2 2 AC = –a + b + 3a oe
or B1 for
or M1 for correct route for OM using the lines of the diagram
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