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7 marksVector Geometry Problems

CSEC Mathematics · May/June 2004 · Paper 2 · Question 13(d)(ii)

If M is the midpoint of the diagonal OB, and N is the midpoint of the diagonal AC, determine the position vector OM.

Determine the position vector ON. Hence, state one conclusion which can be made about the diagonals of the parallelogram OABC.

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Other parts of this question

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

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