Question
Find the angle between the line
and the plane 2x – y + z= 1.
Solution
The equation of line is

Its direction ratios are 1, – 1, 1
The equation of plane is
2x –y + z = 1
∴ direction ratios of the normal to the plane are 2, – 1, 1.
Let θ be the angle between the line and plane.



Its direction ratios are 1, – 1, 1
The equation of plane is
2x –y + z = 1
∴ direction ratios of the normal to the plane are 2, – 1, 1.
Let θ be the angle between the line and plane.


