Quelpr
1 markVector Geometry Problems

CSEC Mathematics · May/June 2012 · Paper 2 · Question 11(a)(ii)

The points A, B and C have position vectors OA = (6, 2), OB = (3, 4) and OC = (12, -2) respectively.

State ONE geometrical relationship between BA and BC.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 11(a)(i)a)Express in the form (x, y) the vector BA.[2 marks]
  2. 11(a)(i)b)Express in the form (x, y) the vector BC.[2 marks]
  3. 11(a)(iii)Draw a sketch to show the relative positions of A, B and C.[2 marks]
  4. 11(b)(i)Calculate the values of a and b such that (a-4, b) * (2, -4; 1, -3) = (20, 0; 0, 2).[3 marks]
  5. 11(b)(ii)Hence, or otherwise, write down the inverse of (2, -4; 1, -3).[2 marks]
  6. 11(b)(iii)Use the inverse of (2, -4; 1, -3) to solve for x and y in the matrix equation (2, -4; 1, -3) * (x, y) = (12, 7).[3 marks]

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