9.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{29b56d51-120a-4275-a761-8b8aed7bca54-28_615_328_210_808}
\captionsetup{labelformat=empty}
\caption{Figure 2}
\end{figure}
Figure 2 shows a sketch of a triangle \(A B C\).
Given \(\overrightarrow { A B } = 2 \mathbf { i } + 3 \mathbf { j } - 2 \mathbf { k }\) and \(\overrightarrow { A C } = 5 \mathbf { i } - 6 \mathbf { j } + \mathbf { k }\),
- find the size of angle \(C A B\), giving your answer in degrees to 2 decimal places,
- find the area of triangle \(A B C\), giving your answer to 2 decimal places.
Using your answer to part (b), or otherwise,
- find the shortest distance from \(A\) to \(B C\), giving your answer to 2 decimal places.