Quelpr
5 marksVectors

CAPE Pure Mathematics Unit 1 · May/June 2001 · Paper 2 · Question 4(b)(i)

r₁ = 3i, r₂ = i + j and r₃ = -4j are three vectors and t is a scalar.

Find the values of t such that the vector t r₁ + r₂ is perpendicular to the vector r₂ + r₃.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 4(a)Express the complex number, (z-1)/(z+1), in a similar form.[7 marks]
  2. 4(a)(i)Find the equation connecting x and y.[3 marks]
  3. 4(a)(ii)Show that the equation represents a circle, C.[3 marks]
  4. 4(a)(iii)Determine the centre and radius of C.[2 marks]
  5. 4(b)(ii)Find the position vector of C relative to O.[3 marks]
  6. 4(b)(iii)Determine cos AÔC.[2 marks]

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