Quelpr
2 marksVector Geometry Problems

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

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.

State TWO geometrical relationships between PQ and RS.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

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)(iii)Express in the form [x, y], vector RS.[2 marks]

More practice: the rest of this paper · more Vector Geometry Problems questions · all CSEC Mathematics past papers