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I have seen different equations for computing the unit normal vector to a surface. What is the difference between the normal vector ##N## of a curve and ##n##. I have seen this formula for a unit normal vector: ##n = \frac{x_1 \times x_2}{|x_1 \times x_2|}##. Which is different from ##N##. For example,

Let ##f(u,v)=(u,v,h(u,v))## be a parametrization of the graph ##T_h## of ##h:\mathbb{R}^2\to \mathbb{R}##. Compute a unit normal vector to ##T_h##.

How can I compute this unit normal vector?

Let ##f(u,v)=(u,v,h(u,v))## be a parametrization of the graph ##T_h## of ##h:\mathbb{R}^2\to \mathbb{R}##. Compute a unit normal vector to ##T_h##.

How can I compute this unit normal vector?

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