Question 8 - A-Level Maths

Exam Board	OCR MEI
Module	Further Pure Core (Further Pure Core)
Year	2020
Session	November
Topic	Vectors: Lines & Planes

Given that the lines \(\mathbf { r } = \left( \begin{array} { l } 0
2
2 \end{array} \right) + \lambda \left( \begin{array} { r } - 1
1
3 \end{array} \right)\) and \(\mathbf { r } = \left( \begin{array} { r } - 1
2
k \end{array} \right) + \mu \left( \begin{array} { l } 2
3
4 \end{array} \right)\) meet, determine \(k\).
In this question you must show detailed reasoning. Find the acute angle between the two lines.