Inntersection of a line and a plane.

[-Dragoon-]

Homework Statement

List all the possibilities for the intersection of a line and a plane, and draw an example of each.

Homework Equations

N/A

The Attempt at a Solution

This question is so vague, but here is my attempt:
1. The line can lie in the plane
2. The line can intersect the plane at a point
3. The line can be parallel to the plane.

Are these correct or are there are more possibilities? Also, how do I draw 1 and 3 so you can differentiate between the line being in the plane and the line being parallel to the plane?

 

[Vikrant94]

Your responses appear to be correct and complete, assuming of course you're dealing with the standard three dimensional euclidean geometry.

The drawing should not be so important, as long as you understand what is being drawn. You could try using a coordinate system for further clarity.

 

[-Dragoon-]

Your responses appear to be correct and complete, assuming of course you're dealing with the standard three dimensional euclidean geometry.

The drawing should not be so important, as long as you understand what is being drawn. You could try using a coordinate system for further clarity.

Okay. Thanks for all the help.

 

[mege]

Also, how do I draw 1 and 3 so you can differentiate between the line being in the plane and the line being parallel to the plane?

A simple way to relate distance is put a lightly drawn or hashed marker-line between the end points of the drawn line and your plane (to illustrate the constant distance between the two).