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Hello, looking for some help regarding the shortest distance from a point to z=xy.

Perhaps some advice?

If R=(X, Y, Z) is the point on the surface closest to P=(0, 0, 1), thenL[\b] is a vector normal to the surface andL[\b]=Xi+Yj+(z-1)k

n[\b]=yi+xj-k is the normal vector, and there exists some scalar quantity such thatL[\b]=tn[\b]

thus, ty=X, tx=Y, z-1=-t

From here. no matter what it seems like i cant do anything...

thanks in advance!!!!

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# Distance from point to z=xy

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