Find the angle between the line and the plane

Given :

Equation of line :

Equation of plane :

To Find : angle between line and plane

Formulae :

1) Angle between a line and a plane :

If Ө is a angle between the line and the plane , then

Where, is vector parallel to the line and

is the vector normal to the plane.

Answer :

For given equation of line,

Parallel vector to the line is

For given equation of plane,

normal vector to the plane is

Therefore, angle between given line and plane is