The plane 2x – 3y + 6z – 11 = 0 makes an angle sin –1 (α) with x-axis. The valueof α is equal to

Question

Philoid · Accepted Answer

Given equation of plane is 2x – 3y + 6z = 11

Normal to this plane is,

Also,

x-axis has direction vector

Also, we know the angle ϕ between the line with direction vector b and the plane with normal vector n is

On comparison,