Edexcel P4 2021 January — Question 2

Exam BoardEdexcel
ModuleP4 (Pure Mathematics 4)
Year2021
SessionJanuary
TopicVectors: Lines & Planes

2. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{216f5735-a7ad-4d70-9da9-ae1f098a97d9-04_511_506_264_721} \captionsetup{labelformat=empty} \caption{Figure 1}
\end{figure} Figure 1 shows a sketch of parallelogram \(A B C D\).
Given that \(\overrightarrow { A B } = 6 \mathbf { i } - 2 \mathbf { j } + 3 \mathbf { k }\) and \(\overrightarrow { B C } = 2 \mathbf { i } + 5 \mathbf { j } + 8 \mathbf { k }\)
  1. find the size of angle \(A B C\), giving your answer in degrees, to 2 decimal places.
  2. Find the area of parallelogram \(A B C D\), giving your answer to one decimal place.