OCR FP3 2014 June — Question 1

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2014
SessionJune
TopicVectors: Lines & Planes
1
  1. Find a vector equation of the line of intersection of the planes \(2 x + y - z = 4\) and \(3 x + 5 y + 2 z = 13\).
  2. Find the exact distance of the point \(( 2,5 , - 2 )\) from the plane \(2 x + y - z = 4\).
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