Question 1307

Vectors II: Lines and Planes
2007 Paper 1 Question 8 Variant

Question

The line l{l} passes through the points A{A} and B{B} with coordinates (4,3,4){\left( - 4, 3, 4 \right)} and (5,5,2){\left( - 5, 5, - 2 \right)} respectively. The plane p{p} has equation 2x+4yz=8.{- 2 x + 4 y - z = 8.} Find
(i)
The coordinates of the point of intersection of l{l} and p,{p,}
[5]
(ii)
The acute angle between l{l} and p,{p,}
[3]
(iii)
The perpendicular distance from A{A} to p.{p.}
[3]

Answer