OCR
Further Additional Pure AS
2017
December
— Question 2
Exam Board
OCR
Module
Further Additional Pure AS (Further Additional Pure AS)
Year
2017
Session
December
Topic
Vector Product and Surfaces
2
For non-zero vectors \(\mathbf { x }\) and \(\mathbf { y }\), explain the geometrical significance of the statement \(\mathbf { x } \times \mathbf { y } = \mathbf { 0 }\).
The points \(P\) and \(Q\) have position vectors \(\mathbf { p } = 2 \mathbf { i } + 7 \mathbf { j } - \mathbf { k }\) and \(\mathbf { q } = \mathbf { i } + 3 \mathbf { j } + 4 \mathbf { k }\) respectively. Find, in the form \(( \mathbf { r } - \mathbf { a } ) \times \mathbf { d } = \mathbf { 0 }\), the equation of line \(P Q\).