CAIE P1 2006 November — Question 4

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2006
SessionNovember
TopicVectors 3D & Lines

4 The position vectors of points \(A\) and \(B\) are \(\left( \begin{array} { r } - 3
6
3 \end{array} \right)\) and \(\left( \begin{array} { r } - 1
2
4 \end{array} \right)\) respectively, relative to an origin \(O\).
  1. Calculate angle \(A O B\).
  2. The point \(C\) is such that \(\overrightarrow { A C } = 3 \overrightarrow { A B }\). Find the unit vector in the direction of \(\overrightarrow { O C }\).