(Step-by-Step) Evaluate the surface integral ∫_Sigma F • \vecn d S where \vecn is the upward-pointing unit normal vector to the surface \Sigma ; F=


Question: Evaluate the surface integral

\[\int_{\Sigma} \vec{F} \cdot \vec{n} d S\]

where \(\vec{n}\) is the upward-pointing unit normal vector to the surface \(\Sigma ; \vec{F}=\) \(x \vec{i}+y \vec{j}+z \vec{k}\) and \(\Sigma\) is the first-octant part of the plane \(2 x+2 y+z=3\)

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