Question
Find the coordinates of the point, where the line 
intersects the plane 
. Also find the angle between the line and the plane.
Solution
The equation of the given line is 
Any point on the given line is 
If this point lies on the given plane x - y + z - 5 = 0, then
Putting 
in 
we get the point of intersection of the given line and the plane is (2, -1, 2).
Let 
be the angle between the given line and the plane. 
Thus, the angle between the given line and the given plane is 
