Quelpr
3 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2013 · Paper 2 · Question 4(c)(i)

Express the vectors AB and BC in the form xi + yj + zk.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)(i)Show that the centre and the radius of the circle, C, are (3, 2) and 3, respectively.[3 marks]
  2. 4(a)(ii)a)Find the equation of the normal to the circle C at the point (6, 2).[3 marks]
  3. 4(a)(ii)b)Show that the tangent to the circle at the point (6, 2) is parallel to the y-axis.[3 marks]
  4. 4(b)is 4x = y² + 10y + 24.[4 marks]
  5. 4(c)(ii)Show that the vector r = − 16j - 8k is perpendicular to the plane through A, B and C.[5 marks]
  6. 4(c)(iii)Hence, find the Cartesian equation of the plane through A, B and C.[4 marks]

More practice: the rest of this paper · more Vectors questions · all CAPE Pure Mathematics Unit 1 past papers