Assignment 1(c): Planes
The plane II, has vector equation r=4i-j+3k + 2(3i- j+7k)+(3i- j + 4k) and the
plane II, has vector equation r=4i- j+3k + 2 (3i - j+ 7k) + M2 (i – 3j+12k), where
2, P, H and Hy are real parameters.
(i) Write down a vector equation of the line of intersection, l, of II, and II. [1]
(ii) Show that the point A with position vector i-k is in IT, and that the point B with
position vector 5i - 4j+15k is in II,
[2]
(iii) Find, correct to the nearest 0.1°, the acute angle between the planes II, and I/.[4]plane
(iv) Find the perpendicular distance from A to the II,.