Quelpr
3 marksPosition Vectors

CSEC Mathematics · May/June 2016 · Paper 2 · Question 11(a)(i)

The position vectors of points A, B and C, relative to the origin O, are OA = (-2, 2), OB = (6, 1) and OC = (10, 4) respectively.

Express in the form (x, y) the vectors AB and AC.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 11(a)(ii)Hence, determine whether A, B and C are collinear, giving the reasons for your answer.[3 marks]
  2. 11(b)Determine the value of x for which the matrix (3, x; 2, 4) is singular.[2 marks]
  3. 11(c)(i)Determine NP.[1 mark]
  4. 11(c)(ii)Given that PN = (19, 11; 11, 4), determine whether matrix multiplication is commutative.[1 mark]
  5. 11(c)(iii)Determine N^-1, the inverse of N.[2 marks]
  6. 11(c)(iv)Hence, calculate the values of x and y for which (4, 1; 3, 2) * (x, y) = (1, 2).[3 marks]

More practice: the rest of this paper · more Position Vectors questions · all CSEC Mathematics past papers