CAIE P3 2011 June — Question 9

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2011
SessionJune
TopicVectors: Lines & Planes

9 Two planes have equations \(x + 2 y - 2 z = 7\) and \(2 x + y + 3 z = 5\).
  1. Calculate the acute angle between the planes.
  2. Find a vector equation for the line of intersection of the planes.