Question: Let (mathbf{F}) be a vector field and (Phi(u, v)) a parametrization of a surface (mathcal{S}), and set (mathbf{N}=mathbf{T}_{u} times mathbf{T}_{v}). Which of the following is

Let \(\mathbf{F}\) be a vector field and \(\Phi(u, v)\) a parametrization of a surface \(\mathcal{S}\), and set \(\mathbf{N}=\mathbf{T}_{u} \times \mathbf{T}_{v}\). Which of the following is the normal component of \(\mathbf{F}\) ?
(a) \(\mathbf{F} \cdot \mathbf{N}\)
(b) \(\mathbf{F} \cdot \mathbf{n}\)

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