OCR C4 2009 January — Question 7

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2009
SessionJanuary
TopicVectors 3D & Lines

7
  1. Show that the straight line with equation \(\mathbf { r } = \left( \begin{array} { r } 2
    - 3
    5 \end{array} \right) + t \left( \begin{array} { r } 1
    4
    - 2 \end{array} \right)\) meets the line passing through ( \(9,7,5\) ) and ( \(7,8,2\) ), and find the point of intersection of these lines.
  2. Find the acute angle between these lines.