OCR FP3 2007 January — Question 2

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2007
SessionJanuary
TopicVectors: Lines & Planes

2 Find the equation of the line of intersection of the planes with equations $$\mathbf { r } . ( 3 \mathbf { i } + \mathbf { j } - 2 \mathbf { k } ) = 4 \quad \text { and } \quad \mathbf { r } . ( \mathbf { i } + 5 \mathbf { j } + 4 \mathbf { k } ) = 6 ,$$ giving your answer in the form \(\mathbf { r } = \mathbf { a } + t \mathbf { b }\).