CAIE P1 2013 June — Question 8

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2013
SessionJune
TopicVectors 3D & Lines

8
\includegraphics[max width=\textwidth, alt={}, center]{13cfb59a-7781-4786-a625-919b01a2a4f0-3_716_437_1137_854} The diagram shows a parallelogram \(O A B C\) in which $$\overrightarrow { O A } = \left( \begin{array} { r } 3
3
- 4 \end{array} \right) \quad \text { and } \quad \overrightarrow { O B } = \left( \begin{array} { l } 5
0
2 \end{array} \right)$$
  1. Use a scalar product to find angle \(B O C\).
  2. Find a vector which has magnitude 35 and is parallel to the vector \(\overrightarrow { O C }\).