[Step-by-Step] Use Stokes' Theorem to evaluate \oint_C F • d r, where F(x, y, z)=x y i+x z j+z k, and C is the boundary of the part of the plane x+y+2
Question: Use Stokes' Theorem to evaluate \(\oint_{C} \mathbf{F} \cdot d \mathbf{r}\), where \(\mathbf{F}(x, y, z)=x y \mathbf{i}+x z \mathbf{j}+z \mathbf{k}\), and \(C\) is the boundary of the part of the plane \(x+y+2 z=4\) in the first octant.
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(Solution Library) Evaluate \oint_C F • d r, where F(x, y, z)=y
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