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3 marksVector Geometry Problems

CSEC Mathematics · January 2009 · Paper 2 · Question 13(c)(iii)

The point S has coordinates (a, b).

Using a vector method, show that OPSQ is a parallelogram.

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Other parts of this question

  1. 13(a)(i)Write as a column vector, in the form (x y), OP.[1 mark]
  2. 13(a)(ii)Write as a column vector, in the form (x y), OQ.[1 mark]
  3. 13(b)(i)Express QR as a vector in the form (x y).[2 marks]
  4. 13(b)(ii)Using a vector method, show that OP is parallel to QR.[1 mark]
  5. 13(b)(iii)Determine the magnitude of the vector PR.[2 marks]
  6. 13(c)(i)Write QS as a column vector, in terms of a and b.[2 marks]
  7. 13(c)(ii)Given that QS = OP, calculate the value of a and the value of b.[3 marks]

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