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4 marksVector Geometry Problems

CSEC Mathematics · January 2015 · Paper 2 · Question 11(b)(v)

The diagram below shows two position vectors OR and OS such that R(6, 2) and S(-4, 3).

Given that OT = (2 5), prove that OSTR is a parallelogram.

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Other parts of this question

  1. 11(a)(i)Write the following simultaneous equations 3x + 2y = -1 and 5x + 4y = 6 in the form AX = B, where A, X and B are matrices.[2 marks]
  2. 11(a)(ii)Use a matrix method to solve for x and y.[4 marks]
  3. 11(b)(i)Write as a column vector in the form (x y): OR[1 mark]
  4. 11(b)(ii)Write as a column vector in the form (x y): OS[1 mark]
  5. 11(b)(iii)Write as a column vector in the form (x y): SR[2 marks]
  6. 11(b)(iv)Find |OS|.[1 mark]

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