Find a Normal Vector to the Surface with Parametric Equations $x = 2 u v , y = u ^ { 2 } - v ^ { 2 } , z = u ^ { 2 } + v ^ { 2 }$

Short Answer

Find a normal vector to the surface with parametric equations $x = 2 u v , y = u ^ { 2 } - v ^ { 2 } , z = u ^ { 2 } + v ^ { 2 }$ at the point $( 1,0,1 )$ .