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February 19th, 2010, 07:17 AM   #1
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Intersection of Line and Plane

Hello everyone.

I have been attempting to create a program that can be run by a computer that can find the intersection of a line and a plane. I have searched this on google many times, but no equations that I have found seem to be able to accept input in the form of two x,y,z coordinates for the line, and three x,y,z coordinates for the plane. My knowledge of vector algebra is limited . Does anyone have a fairly simple equation that I could use?

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February 19th, 2010, 11:24 AM   #2
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If the position vectors of the two points on the line are p and q, an arbitrary point on the line is p + t(q - p), where t is a real parameter, so that gives you the coordinates of any point on the line in terms of t. You can determine whether any such point lies in the plane if you obtain an equation representing the plane.
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intersection, line, plane

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