SPS SPS FM Pure 2023 June — Question 5

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2023
SessionJune
TopicVectors 3D & Lines

5. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{368f5263-8f2e-40a9-8bc0-f074d8a98ee1-12_611_334_171_902} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of a triangle \(A B C\).
Given \(\overrightarrow { A B } = 2 \mathbf { i } + 3 \mathbf { j } + \mathbf { k }\) and \(\overrightarrow { B C } = \mathbf { i } - 9 \mathbf { j } + 3 \mathbf { k }\), show that \(\angle B A C = 105.9 ^ { \circ }\) to one decimal place.
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