OCR MEI C4 2009 January — Question 5

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2009
SessionJanuary
TopicVectors: Lines & Planes

5
  1. Write down normal vectors to the planes \(2 x - y + z = 2\) and \(x - z = 1\).
    Hence find the acute angle between the planes.
  2. Write down a vector equation of the line through \(( 2,0,1 )\) perpendicular to the plane \(2 x - y + z = 2\). Find the point of intersection of this line with the plane.