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8 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2015 · Paper 2 · Question 4(c)

Let a = ci + j + 2k and b = 2i – 2j + k.

Find c given that the angle between the vectors a and b is π/3.

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Other parts of this question

  1. 4(a)Calculate the distance between the points of intersection of the line 3x – 2y + 6 = 0 and the circle x² + y² = 9.[8 marks]
  2. 4(b)(i)Find the centre and radius of C.[5 marks]
  3. 4(b)(ii)Find the equation of the tangent to C at the point (0,0).[4 marks]

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