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1 markPosition Vectors

CSEC Mathematics · May/June 2008 · Paper 2 · Question 13(a)(i)

This section covers Vectors and Matrices. The points O (0, 0), A (−1, 3), B(-5, 4) and C(7, p) are plotted on squared paper.

Write the following position vectors in the form (x y): OA.

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Other parts of this question

  1. 13(a)(ii)Write the following position vectors in the form (x y): OB.[1 mark]
  2. 13(a)(iii)Write the following position vectors in the form (x y): OC.[1 mark]
  3. 13(b)(i)Write as a column vector, in the form (x y): BA.[2 marks]
  4. 13(b)(ii)Write as a column vector, in the form (x y): AC in terms of p.[2 marks]
  5. 13(c)Calculate the values of p for which |AC| = 10.[3 marks]
  6. 13(d)Using a vector method, prove that the points A, B and D are collinear.[5 marks]

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