OCR MEI C4 2013 June — Question 4

Exam BoardOCR MEI
ModuleC4 (Core Mathematics 4)
Year2013
SessionJune
TopicVectors 3D & Lines

4
  1. Find a vector equation of the line \(l\) joining the points \(( 0,1,3 )\) and \(( - 2,2,5 )\).
  2. Find the point of intersection of the line \(l\) with the plane \(x + 3 y + 2 z = 4\).
  3. Find the acute angle between the line \(l\) and the normal to the plane.