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5 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2000 · Paper 2 · Question 4(b)(iii)

The point E lies within the parallelogram and has position vector (-8 sin²θ)i + (6 - 6 cos²θ)j.

Show that OE and OC are perpendicular.

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Other parts of this question

  1. 4(a)(i)Express cos 4θ in terms of cos 2θ.[2 marks]
  2. 4(a)(ii)Hence, solve the equation cos 4θ + 3 cos 2θ - 1 = 0, for 0 < θ < π.[10 marks]
  3. 4(b)(i)Determine a unit vector in the direction of OC.[3 marks]
  4. 4(b)(ii)Find, by calculation, the position vector of D.[5 marks]

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