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2 marksVector Geometry Problems

CSEC Mathematics · May/June 2015 · Paper 2 · Question 11(b)(iii)

The position vectors of the points R, S and T, relative to an origin, O, are R=(-3, 4), S=(1, 1) and T=(5, -2) respectively.

Using the results of combining the vectors in (b) (ii) on page 33, justify that RS is parallel to ST and that RST is a straight line.

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Other parts of this question

  1. 11(a)(i)Calculate the matrix product AB where A = [[1, 1], [2, 3]] and B = [[1, 2], [0, 1]][2 marks]
  2. 11(a)(ii)Show that the matrix product of A and B is NOT commutative, that is, AB ≠ BA.[2 marks]
  3. 11(a)(iii)Find A⁻¹, the inverse of A.[2 marks]
  4. 11(a)(iv)Given that M = [[2x, 2], [9, 3]], calculate the value(s) of x for which |M| = 0.[2 marks]
  5. 11(b)(i)Calculate the value of |OR|.[1 mark]
  6. 11(b)(ii)Express in the form [x, y], the vectors RS and ST. RS = ____________ ST = ____________[2 marks]

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