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    Intersect of Surface and Line in 3D Space

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    Attached, find a graphic of a Plane and a Line.
    I'm hoping the solution can be conveyed without Matrix math, and am thinking it ought to be solvable using 'conventional' simutaneous equations (which I almost 'get').
    Too, I'm hoping the solution will be fairly 'general', in the sense that, after understanding this first effort, that I will be able to apply it to a more complex surface.

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    Solution Preview

    I appreciate your work in visualizing the plane and line in space and obtaining the approximate point of intersection.

    In the attached file, I have explained the complete procedure (substitution method, not matrix method)of obtaining the required point of intersection. I hope you can understand this.

    Well. The solutions can be obtained using a simple substitution method.

    I appreciate your work in getting ...

    Solution Summary

    A solution to the intersect of a line and a surface is found using a substitution method.