OCR C4 2012 January — Question 2

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2012
SessionJanuary
TopicVectors 3D & Lines

2
  1. Find, in the form \(\mathbf { r } = \mathbf { a } + t \mathbf { b }\), an equation of the line \(l\) through the points ( \(4,2,7\) ) and ( \(5 , - 4 , - 1\) ).
  2. Find the acute angle between the line \(l\) and a line in the direction of the vector \(\left( \begin{array} { l } 1
    2
    3 \end{array} \right)\).