Interaction between a Line and a Plane
Interaction between a Line and a Plane: Overview
This topic covers concepts such as Condition when a Line Completely Lies on a Plane, Angle between Line and a Plane in Vector Form, A Line and a Plane, Intersection Point of a Line and a Plane, etc.
Important Questions on Interaction between a Line and a Plane
Find the distance of the point , from the point of intersection of the line and the plane .

The coordinate of the point where the line meets the plane is

The angle between the line and the plane would be :

If the lines and are perpendicular, what would be the value of and the equation of plane containing these lines?

The coordinates of the point where the line meets the plane would be:

The perpendicular distance from the point on the plane passing through the point and containing the line, is

If the line lies in the plane then is equal to

If planes and pass through a straight line then

The length of the projection of the line segment joining the points and on the plane, is

The distance between the point and the point of intersection of the line with the plane is then equals to

The measure of the angle between the line and the plane is

The perpendicular distance from the point of intersection of the line and plane to the axis is

Let represents the point where the line through and intersects -plane, then

If be the angle between the line and the plane such that , then the value of can be

If the plane makes an angle with the axis, then the value of is

The angle between the line and the plane is

The angle between the plane and the line is

The angle between the line and the plane is

If the line lies in the plane , then is

If the line lies in the plane , then find the value of .
