OCR MEI C4 2010 January — Question 5

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2010
SessionJanuary
TopicVectors 3D & Lines

5
  1. Verify that the lines \(\mathbf { r } = \left( \begin{array} { r } - 5
    3
    4 \end{array} \right) + \lambda \left( \begin{array} { r } 3
    0
    - 1 \end{array} \right)\) and \(\mathbf { r } = \left( \begin{array} { r } - 1
    4
    2 \end{array} \right) + \mu \left( \begin{array} { r } 2
    - 1
    0 \end{array} \right)\) meet at the point (1,3,2).
  2. Find the acute angle between the lines.