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3 marksPosition Vectors

CSEC Mathematics · May/June 2004 · Paper 2 · Question 13(a)(i)

The vertices of a quadrilateral, OABC, are (0, 0), (4, 2), (6, 10) and (2, 8) respectively. Use a vector method to answer the questions which follow.

Write as a column vector, in the form (x y), the vector OA.

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Other parts of this question

  1. 13(a)(ii)Write as a column vector, in the form (x y), the vector CB.[3 marks]
  2. 13(b)Calculate |OA|, the magnitude of OA.[1 mark]
  3. 13(c)(i)State two geometrical relationships between the line segments OA and CB.[4 marks]
  4. 13(c)(ii)Explain why OABC is a parallelogram.[4 marks]
  5. 13(d)(i)Determine the position vector OM.[7 marks]
  6. 13(d)(ii)Determine the position vector ON. Hence, state one conclusion which can be made about the diagonals of the parallelogram OABC.[7 marks]

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