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2 marksPosition Vectors

CSEC Mathematics · May/June 2008 · Paper 2 · Question 13(a)

The position vectors of A and B relative to the origin are a and b respectively. The point P is on OA such that OP = 2PA. The point M is on BA such that BM = MA.

Copy the diagram and complete it to show the points of P and M.

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Other parts of this question

  1. 13(b)(i)Show the position of N on your diagram.[1 mark]
  2. 13(b)(ii)Express in terms of a and b the vectors AB, PA and PM.[5 marks]
  3. 13(c)Use a vector method to prove that P, M and N are collinear.[4 marks]
  4. 13(d)Calculate the length of AN if a = (6, 2) and b = (1, 2).[3 marks]

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