Study guide and
1 practice problem
on:
Normal vector to an explicitly defined surface
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A normal vector to the explicitly defined surface $z = f(x,y)$ is $$\left \langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, -1 \right \rangle$$
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Practice problem
Use 3d level surfaces to show that a normal vector to $z=f(x,y)$ is given by $\langle \frac{\partial f}{\partial x}, \frac{\partial f}{\partial y}, -1 \rangle$.
Solution