1. The problem statement, all variables and given/known data Find the points (x,y,z) on the paraboloid z=x2+y2-1 at which the normal line to the surface is the line from the origin to the point (x,y,z). 2. Relevant equations normal line means take the gradient, <∂F/∂x, ∂F,∂y, ∂F,∂z>, and evaluate at the point 3. The attempt at a solution n= -2xi + -2yj + 1k, where i=(1 0 0)T, j=(0 1 0)T, k=(0 0 1)T. So we want an (x,y,z) that such that the normal vector n is a scalar multiple of xi + yj + (z=x2+y2+1)k. <-2x,-2y,1> = ß<x,y,x2+y2+1> <-2,-2,0> = <ß, ß, ß(x2+y2)> Am I doing this right? Something ain't working.