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9 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2018 · Paper 2 · Question 4(b)

Let u = (s, 3, s) and v = (-2, 6, 4) be two position vectors in R³.

Show that u and v are NOT parallel.

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Other parts of this question

  1. 4(a)(i)Determine the centre and radius of the circle, C.[3 marks]
  2. 4(a)(ii)Show that (1, -2) is one of the points of intersection of the circle, C, and the straight line, L.[6 marks]
  3. 4(a)(iii)Determine the equation of the tangent to the circle, C, at the point (1, -2).[4 marks]
  4. 4(c)Determine the vector equation of a plane which passes through the point (1, 3, 0) and which is perpendicular to the vector 2i + 4j + 5k.[3 marks]

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