CAIE P3 2010 November — Question 6

Exam BoardCAIE
ModuleP3 (Pure Mathematics 3)
Year2010
SessionNovember
TopicVectors: Lines & Planes

6 The straight line \(l\) passes through the points with coordinates \(( - 5,3,6 )\) and \(( 5,8,1 )\). The plane \(p\) has equation \(2 x - y + 4 z = 9\).
  1. Find the coordinates of the point of intersection of \(l\) and \(p\).
  2. Find the acute angle between \(l\) and \(p\).