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2 marksPosition Vectors

CSEC Mathematics · May/June 2007 · Paper 2 · Question 13(a)

OK and OM are position vectors such that OK = k and OM = m.

Sketch the diagram above. Show the approximate positions of points R and S such that R is the mid-point of OK and S is a point on OM such that OS = (1/3)OM.

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Other parts of this question

  1. 13(b)(i)Write down, in terms of k and m, the vector MK.[8 marks]
  2. 13(b)(ii)Write down, in terms of k and m, the vector RM.[1 mark]
  3. 13(b)(iii)Write down, in terms of k and m, the vector KS.[1 mark]
  4. 13(b)(iv)Write down, in terms of k and m, the vector RS.[1 mark]
  5. 13(c)L is the mid-point of RM. Using a vector method, prove that RS is parallel to KL.[5 marks]

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