Question

In how many points a line, not in a plane, can intersect the plane?

Answer 1

The number of points that a line, not in a plane, can intersect the plane at either 1 or no point.

• A line has only one dimension (1D) , while a plane has two dimensions (2D).

• Since the line only has 1 Dimension, that is length, there are three possible cases for the intersection of line with a plane.

1. If the line lie in the plane, it intersects the plane at Infinite points.
2. If the line does not lie in the plane, it intersects the plane only at one point, provided it's length is not parallel to the plane.
3. If the line does not lie in the plane, and it's length is parallel to the plane, the line never intersects the given plane.