Quelpr
3 marksVector Geometry Problems

CSEC Mathematics · 2022 · Paper 2 · Question 10(c)(ii)b)

Given that YA and BX intersect at M and BM = 2MX.

Using a vector method, show that the ratio YM : YA is 1 : 3. Show ALL working.

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. 10(a)(i)Write the coordinates of P', the image of the point P(7, 11) after it undergoes a rotation by 90^\circ anticlockwise about the origin, O.[1 mark]
  2. 10(a)(ii)T is the combined transformation of A followed by B. Determine the elements of the matrix representing the transformation T.[2 marks]
  3. 10(a)(iii)Describe, geometrically, the transformation represented by T.[2 marks]
  4. 10(b)Determine the value of k, given that the matrix C is singular.[2 marks]
  5. 10(c)(i)Express \vec{BX} in terms of u and v.[1 mark]
  6. 10(c)(ii)a)Express \vec{BM} in terms of u and v.[1 mark]

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