Edexcel P4 2022 October — Question 3

Exam BoardEdexcel
ModuleP4 (Pure Mathematics 4)
Year2022
SessionOctober
TopicVectors: Cross Product & Distances

3. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{032d2541-9905-4570-9584-9a144b02fde5-06_748_483_242_790} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of triangle \(P Q R\).
Given that
  • \(\overrightarrow { P Q } = 2 \mathbf { i } - 3 \mathbf { j } + 4 \mathbf { k }\)
  • \(\overrightarrow { P R } = 8 \mathbf { i } - 5 \mathbf { j } + 3 \mathbf { k }\)
    1. Find \(\overrightarrow { R Q }\)
    2. Find the size of angle \(P Q R\), in degrees, to three significant figures.