Question

(i) Find the Cartesian equation of the plane passing through the point (1, 2, -3) perpendicular to the vector 2i – j + 2k. 

(ii) Find the angle between the above

\(\frac{x-1}{2}=\frac{y-3}{3}=\frac{z}{6}\)

Answer 1

(i) The equation of the Plane is 

2(x – 1) – 1(y, -2) + 2(z+3) = 0 

⇒ 2x – 2 – y + 2 + 2z + 6 = 0 

⇒ 2x – y + 2z + 6 – 0

(ii) Angle between the line and the Plane is