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CSEC Mathematics · January 2007 · Paper 2 · Question 13(a)(ii)

This question involves vectors. In the diagram, M is the midpoint of ON.

Produce PX to Q such that PX = 4 XQ.

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Other parts of this question

  1. 13(a)(i)Sketch the diagram above in your answer booklet and insert the point X on OM such that OX = (1/3) OM.[1 mark]
  2. 13(b)(i)Write OM in terms of r and s.[2 marks]
  3. 13(b)(ii)Write PX in terms of r and s.[3 marks]
  4. 13(b)(iii)Write QM in terms of r and s.[4 marks]
  5. 13(c)Show that PN = 2PM + OP.[4 marks]

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