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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.
THANKS!

https://brainmass.com/math/intersect-surface-line-space-16314

#### Solution Preview

Hello,
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.

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