x²+y²+z²=3f(x,y,z)=x²+y²+z²−3=0
The gradient of f(x,y,z) at point x,y,z is a vector normal to the surface at this point.
The gradient is obtained as follows
∇f(x,y,z)=(fx,fy,fz)=2x+2y+2z at point (1,1,1) and the unit vector is
=2+2+22,2,2=82,82,82=21,21,21
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