SPS SPS FM Pure 2026 January — Question 2

Exam BoardSPS
ModuleSPS FM Pure (SPS FM Pure)
Year2026
SessionJanuary
TopicVectors 3D & Lines

2
- 3
1 \end{array} \right) \text { where } \lambda \text { is a scalar parameter. }$$ The point \(P\) lies on \(l _ { 1 }\). Given that \(\overrightarrow { O P }\) is perpendicular to \(l _ { 1 }\), calculate the coordinates of \(P\).
(ii) Relative to a fixed origin \(O\), the line \(l _ { 2 }\) is given by the equation $$l _ { 2 } : \mathbf { r } = \left( \begin{array} { r }