Question: (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) is zero if (choose the correct answer): (a) (mathbf{F}) is tangent to (mathcal{S}) at every point. (b) (mathbf{F}) is perpendicular

\(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) is zero if (choose the correct answer):
(a) \(\mathbf{F}\) is tangent to \(\mathcal{S}\) at every point.
(b) \(\mathbf{F}\) is perpendicular to \(\mathcal{S}\) at every point.

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