OCR Further Pure Core 1 2018 March — Question 4

Exam BoardOCR
ModuleFurther Pure Core 1 (Further Pure Core 1)
Year2018
SessionMarch
TopicVectors: Lines & Planes

4 The lines \(l _ { 1 }\) and \(l _ { 2 }\) have equations \(\frac { x - 7 } { 2 } = \frac { y - 1 } { - 1 } = \frac { z - 6 } { 3 }\) and \(\frac { x - 2 } { 1 } = \frac { y - 6 } { 2 } = \frac { z + 2 } { 1 }\) respectively.
  1. Show that \(l _ { 1 }\) and \(l _ { 2 }\) intersect.
  2. Find the cartesian equation of the plane that contains \(l _ { 1 }\) and \(l _ { 2 }\).