OCR FP3 2006 June — Question 3

Exam BoardOCR
ModuleFP3 (Further Pure Mathematics 3)
Year2006
SessionJune
TopicVectors: Cross Product & Distances

3 Find the perpendicular distance from the point with position vector \(12 \mathbf { i } + 5 \mathbf { j } + 3 \mathbf { k }\) to the line with equation \(\mathbf { r } = \mathbf { i } + 2 \mathbf { j } + 5 \mathbf { k } + t ( 8 \mathbf { i } + 3 \mathbf { j } - 6 \mathbf { k } )\).