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Given three points, (x1, y1, z1) (x2, y2, z2) (x3, y3, z3)

and given a point "A" at (x, y), how would I find "A'", at (x, y, z)?

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    \$\begingroup\$ Not sure what you're asking... Are you looking for the intersection of a plane (defined by three points) with a specific line parallel to the z-axis? \$\endgroup\$ Jun 9, 2016 at 13:25
  • \$\begingroup\$ Intersection of a plane defined by three points, but find the Z with a given X and Y. \$\endgroup\$ Jun 9, 2016 at 13:38

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Depending on the library or technology you are working with - things can get easier. But it is almost always good to understand the maths behind this stuff. Have a look at the line through plane equations on Wikipedia.

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