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5 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2010 · Paper 2 · Question 3(a)(ii)a)

Vectors p and q are given by p = 6i + 4j and q = -8i - 9j.

Find a non-zero vector v such that p.v = 0.

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Other parts of this question

  1. 3(a)(i)Calculate, in degrees, the angle between p and q.[5 marks]
  2. 3(a)(ii)b)State the relationship between p and v.[1 mark]
  3. 3(b)(i)Show that the equation of C₁ is x² + y² + 2x – 6y + 5 = 0.[6 marks]
  4. 3(b)(ii)Calculate the coordinates of the points of intersection of C₁ and C₂.[9 marks]

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