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2 marksVector Geometry Problems

CSEC Mathematics · May/June 2014 · Paper 2 · Question 11(c)(iv)

In the diagram below, the coordinates of P and Q are (2, 4) and (8, 2) respectively. The line segment joining the origin (0, 0) to the point P may be written as OP.

State the type of quadrilateral formed by PQRO. Justify your answer.

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Other parts of this question

  1. 11(a)Determine the value of p for which the matrix M does NOT have an inverse.[2 marks]
  2. 11(b)Express the equations 4x - 2y = 0 and 2x + 3y = 4 in the form AX = B, where A, X and B are matrices.[2 marks]
  3. 11(c)(i)What term is used to describe OP?[2 marks]
  4. 11(c)(ii)a)Write OP in the form [a, b].[1 mark]
  5. 11(c)(ii)b)Write OQ in the form [a, b].[1 mark]
  6. 11(c)(ii)c)Write PQ in the form [a, b].[2 marks]
  7. 11(c)(iii)Given that OP = RQ, determine the coordinates of the point, R.[3 marks]

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