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1 markVector Geometry Problems

CSEC Mathematics · May/June 2006 · Paper 2 · Question 13(a)(i)

The diagram below shows the position vectors of two points, A and C, relative to an origin, O.

Copy and complete the diagram to show the point B such that OABC is a parallelogram

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Other parts of this question

  1. 13(a)(ii)Copy and complete the diagram to show the vector u where u = OA + OC.[2 marks]
  2. 13(b)(i)Write as a column vector, in the form [x y], the vector OA[1 mark]
  3. 13(b)(ii)Write as a column vector, in the form [x y], the vector OC[1 mark]
  4. 13(b)(iii)Write as a column vector, in the form [x y], the vector AC.[2 marks]
  5. 13(c)(i)determine the coordinates of G[3 marks]
  6. 13(c)(ii)prove, using a vector method, that A, G, and C lie on a straight line.[5 marks]

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