(Solved): Equation of Tangent Plane and Normal Line Find the equation of tangent plane and normal line to ea ...

Equation of Tangent Plane and Normal Line Find the equation of tangent plane and normal line to each surface at the prescribed point: a) x² + y² + z² =3 at (1, -1, 1) TTT b) cos z = sin(x + y) at 2'2'2 c) zex+2y=3 at (2,-1,3) Ans: a) tangent plane: x-y+z=3, normal line: x=1+2t, y=-1-2t, z=1+2t b) tangent plane: x+y-z = ?/2, normal line: x= ?/2+t, y = n/2+t, z = n/2-t c) tangent plane: 3x+6y+z=3, normal line: x=2+3t, y=-1+6t, z=3+t