Let (mathbf{F}) be a vector field and (Phi(u, v)) a parametrization of a surface (mathcal{S}), and set

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 the normal component of $\mathbf{F}$ ?
(a) $\mathbf{F} \cdot \mathbf{N}$
(b) $\mathbf{F} \cdot \mathbf{n}$

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