Solution: Use Stoke's theorem to evaluate \oint_C F • d r F(x, y, z)=x y i+y z j+z x k C is the triangle in the plane x+y+z=1 with vertices (1,0,0),(0,1,0)
Question: Use Stoke's theorem to evaluate \(\oint_{C} F \cdot d r\)
\(F(x, y, z)=x y i+y z j+z x k\)
C is the triangle in the plane \(x+y+z=1\) with vertices \((1,0,0),(0,1,0)\) and \((0,0,1)\) with a counter clock wise Orientation looking from the first quadrant toward the origin.
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