- #1
kairama15
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- TL;DR Summary
- Trying to find the point on a plane that is closest to another point near the plane.
Suppose there is a 3d plane z=a*x+b*y+c.
Suppose there is a point in space near, but not on the plane. (xo, yo, zo).
What is the coordinate (x1,y1,z1) on the plane that is nearest the original point?
My attempt uses minimization but the result is blowing up into large answer. I wonder if there is an easier way to solve this that gives an elegant general solution. Can anyone help with this?
Thanks!
Suppose there is a point in space near, but not on the plane. (xo, yo, zo).
What is the coordinate (x1,y1,z1) on the plane that is nearest the original point?
My attempt uses minimization but the result is blowing up into large answer. I wonder if there is an easier way to solve this that gives an elegant general solution. Can anyone help with this?
Thanks!