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Math Help - Line plane intersect within boundaries

  1. #1
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    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?
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  2. #2
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    Quote Originally Posted by yellowFattyBEan View Post
    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".
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  3. #3
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    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.
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  4. #4
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    Quote Originally Posted by yellowFattyBEan View Post
    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 PQRS is a convex quadrilateral.
    Then \angle SPQ\;\& \,\angle QRS are opposite angles.
    So the point should be in the interior of both angles.
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  5. #5
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    Yeah, Thats what I'm trying to find out.
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