CAIE P3 2003 June — Question 9

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2003
SessionJune
TopicVectors: Lines & Planes

9 Two planes have equations \(x + 2 y - 2 z = 2\) and \(2 x - 3 y + 6 z = 3\). The planes intersect in the straight line \(l\).
  1. Calculate the acute angle between the two planes.
  2. Find a vector equation for the line \(l\).