OCR FP3 2009 June — Question 3

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2009
SessionJune
TopicVectors: Lines & Planes

3 A line \(l\) has equation \(\frac { x - 6 } { - 4 } = \frac { y + 7 } { 8 } = \frac { z + 10 } { 7 }\) and a plane \(p\) has equation \(3 x - 4 y - 2 z = 8\).
  1. Find the point of intersection of \(l\) and \(p\).
  2. Find the equation of the plane which contains \(l\) and is perpendicular to \(p\), giving your answer in the form \(a x + b y + c z = d\).