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2 marksVector Geometry Problems

CSEC Mathematics · May/June 2013 · Paper 2 · Question 11(a)(ii)

In the diagram, not drawn to scale, P and Q are the midpoints of OA and AB respectively. Vector OA = 2a and vector OB = 2b.

State TWO geometrical relationships that exist between OB and PQ. Give reasons for your answers.

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Other parts of this question

  1. 11(a)(i)a)Express in terms of a and b the vector AB.[2 marks]
  2. 11(a)(i)b)Express in terms of a and b the vector PQ.[2 marks]
  3. 11(b)(i)Evaluate M⁻¹, the inverse of M.[2 marks]
  4. 11(b)(ii)Show that M⁻¹M = I.[2 marks]
  5. 11(b)(iii)Use a matrix method to solve for r, s, t and u in the equation [[2, 1], [4, 3]] * [[r, s], [t, u]] = [[2, 1], [4, -1]].[5 marks]

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