Question

. Find the intersection of the planes x − y + 5z = 9 and

x = 1 + s − t

y = 1 +2 s − t

z = 2 − s + t .

(a) Find the line ℓ1 perpendicular to the first of these planes and passing across the point (1, 2, 2).

(b) Find a line ℓ2 perpendicular to the second of these planes and passing across the point (1, 2, 2).

(c) Find the angle between ℓ1 and ℓ2.

(d) Represent both planes, both lines and the given point in the traditional Cartesian coordinate system.

Answer 1