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Use Stokes' Theorem to Evaluate CFdr\int _ { C } \mathbf { F } \cdot d \mathbf { r }

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Use Stokes' Theorem to evaluate CFdr\int _ { C } \mathbf { F } \cdot d \mathbf { r } where F(x,y,z)=z2i+y2j+xyk\mathbf { F } ( x , y , z ) = z ^ { 2 } \mathbf { i } + y ^ { 2 } \mathbf { j } + x y \mathbf { k } and C is the triangle with vertices (1,0,0),(0,1,0)( 1,0,0 ) , ( 0,1,0 ) , and (0,0,2)( 0,0,2 )

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