Edexcel Paper 1 2022 June — Question 9

Exam BoardEdexcel
ModulePaper 1 (Paper 1)
Year2022
SessionJune
TopicVector Product and Surfaces

9. \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{129adfbb-98fa-4e88-b636-7b4d111f3349-20_406_515_246_776} \captionsetup{labelformat=empty} \caption{Figure 3}
\end{figure} Figure 3 shows a sketch of a parallelogram \(P Q R S\).
Given that
  • \(\overrightarrow { P Q } = 2 \mathbf { i } + 3 \mathbf { j } - 4 \mathbf { k }\)
  • \(\overrightarrow { Q R } = 5 \mathbf { i } - 2 \mathbf { k }\)
    1. show that parallelogram \(P Q R S\) is a rhombus.
    2. Find the exact area of the rhombus \(P Q R S\).