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6 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2004 · Paper 2 · Question 4(c)

A diagram shows a parallelogram OLMN whose diagonals, OM and LN, intersect at P. The position vectors of L and N relative to the origin, O, are -3i + 6j and 2i + 3j respectively.

Find the position vector of P.

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Other parts of this question

  1. 4(a)Express the complex number, w = (z-1)/(z+2), in a similar form.[8 marks]
  2. 4(b)(i)Find the equation connecting x and y in the form ax² + by² + cx + dy + f = 0 where a, b, c, d, f are integers.[4 marks]
  3. 4(b)(ii)Show that the equation in (i) represents a circle, C.[3 marks]
  4. 4(b)(iii)Determine the centre and radius of the circle C.[4 marks]

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