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2 marksSimplifying Vector Expressions

CSEC Mathematics · May/June 2017 · Paper 2 · Question 11(c)(iii)

The position vectors of points P and Q relative to an origin, O, are OP = [4, 3] and OQ = [5, 0] respectively. A diagram shows that PR = 3 OP and QS = 3 OQ.

Express in the form [x, y], vector RS.

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Other parts of this question

  1. 11(a)(i)Show by multiplying A and B, that AB ≠ BA.[2 marks]
  2. 11(a)(ii)Find A⁻¹, the inverse of A.[2 marks]
  3. 11(a)(iii)Write down the 2 × 2 matrix representing the matrix product AA⁻¹.[1 mark]
  4. 11(b)(i)Write the following pair of simultaneous equations as a matrix equation.[1 mark]
  5. 11(b)(ii)Write the solution of your matrix equation in (b)(i) as a product of two matrices.[2 marks]
  6. 11(c)(i)Express in the form [x, y], vector OS.[1 mark]
  7. 11(c)(ii)Express in the form [x, y], vector PQ.[2 marks]
  8. 11(c)(iv)State TWO geometrical relationships between PQ and RS.[2 marks]

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