If (mathbf{F}(P)=mathbf{n}(P)) at each point on (mathcal{S}), then (iint_{mathcal{S}} mathbf{F} cdot d mathbf{S}) is equal to which
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If \(\mathbf{F}(P)=\mathbf{n}(P)\) at each point on \(\mathcal{S}\), then \(\iint_{\mathcal{S}} \mathbf{F} \cdot d \mathbf{S}\) is equal to which of the following?
(a) Zero
(b) \(\operatorname{Area}(\mathcal{S})\)
(c) Neither
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