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5 marksVector Geometry Problems

CSEC Mathematics · January 2008 · Paper 2 · Question 13(b)(ii)a)

Point F is such that vector RF = vector FT.

Use a vector method to determine the position vector of F.

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Other parts of this question

  1. 13(a)(i)Make a sketch of the diagram and show the points P and Q.[1 mark]
  2. 13(a)(ii)a)Write, in terms of x and y, an expression for vector AC.[1 mark]
  3. 13(a)(ii)b)Write, in terms of x and y, an expression for vector PQ.[2 marks]
  4. 13(a)(iii)Hence show that vector PQ = 1/2 vector AC.[2 marks]
  5. 13(b)(i)a)Express in the form (a, b) the vector RT.[4 marks]
  6. 13(b)(i)b)Express in the form (a, b) the vector SR.[4 marks]
  7. 13(b)(ii)b)Hence, state the coordinates of F.[5 marks]

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