Working on another problem here with varying results. I have three line segments in 3D and am looking to find what would be a projected intersection between two. This projected intersection is defined by a ray that is perpendicular to the axis a and passes through both segments f and s.(adsbygoogle = window.adsbygoogle || []).push({});

f and s do not necessarily intersect, nor do either f and s with a. But there are occasions where the ray satisfies the perpendicular to the axis requirement, as well as passes through both f and s.

The ray does not need to be perpendicular to f and s.

I've gotten to a point where I have three linear equations with respect to line parameters t,u and v. But I haven't been able to correctly solve for the three values using Guassian Elimination.

Just wondering if this is the best (or even correct) way to go about it or is there an easier (simpler?) method.

Thanks the for help.

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# Solving Linear Geometry for a 'projected intersection'

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