If we integrate a vector field over a surface, [tex]\int_S \vec{F} \cdot \vec{dS}[/tex], we get the flux through that surface. What does it mean if the integrad were a vector instead, [tex]\int_S \vec{F} dS[/tex]? I can't picture the Riemann sum.(adsbygoogle = window.adsbygoogle || []).push({});

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# Surface integral with vector integrand

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