OCR FP3 2013 January — Question 1

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2013
SessionJanuary
TopicVectors: Lines & Planes
1 Two planes have equations $$x + 2 y + 5 z = 12 \text { and } 2 x - y + 3 z = 5$$
  1. Find the acute angle between the planes.
  2. Find a vector equation of the line of intersection of the planes.
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