CAIE P3 2011 June — Question 3

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

3 Points \(A\) and \(B\) have coordinates \(( - 1,2,5 )\) and \(( 2 , - 2,11 )\) respectively. The plane \(p\) passes through \(B\) and is perpendicular to \(A B\).
  1. Find an equation of \(p\), giving your answer in the form \(a x + b y + c z = d\).
  2. Find the acute angle between \(p\) and the \(y\)-axis.