Thread: Line plane intersect within boundaries

1. Line plane intersect within boundaries

Hi

I have managed to calculate where a line intersects a plane by substituting the parametric equations of a line into the equation of a plane.

If a plane can be defined as infinite and a line must intersect the plane at some point unless paralell to the line and not colinear, how can you determine if a point of intersection lies within the visible defined boundaries of the plane?

2. Originally Posted by yellowFattyBEan
If a plane can be defined as infinite and a line must intersect the plane at some point unless paralell to the line and not colinear, how can you determine if a point of intersection lies within the visible defined boundaries of the plane?
A plane has no "visible defined boundaries".

3. I'm sorry, I should have explained it a bit clearer.

I need to find if a point lies within the boundaries of 4 vectors, creating a perimeter on the plane.

4. Originally Posted by yellowFattyBEan
I'm sorry, I should have explained it a bit clearer.
I need to find if a point lies within the boundaries of 4 vectors, creating a perimeter on the plane.
Suppose you have four co-planar points that form a convex quadrilateral.
You want the point to be in the interior of one pair of opposite angle.
Example suppose that $\displaystyle PQRS$ is a convex quadrilateral.
Then $\displaystyle \angle SPQ\;\& \,\angle QRS$ are opposite angles.
So the point should be in the interior of both angles.

5. Yeah, Thats what I'm trying to find out.