OCR Further Pure Core AS 2023 June — Question 4

Exam BoardOCR
ModuleFurther Pure Core AS (Further Pure Core AS)
Year2023
SessionJune
TopicVectors 3D & Lines

4 The vector \(\mathbf { p }\), all of whose components are positive, is given by \(\mathbf { p } = \left( \begin{array} { c } a ^ { 2 }
a - 5
26 \end{array} \right)\) where \(a\) is a constant.
You are given that \(\mathbf { p }\) is perpendicular to the vector \(\left( \begin{array} { c } 2
6
- 3 \end{array} \right)\).
Determine the value of \(a\).