Question: Use Stokes' theorem to evaluate o C F * d r , where F ( x , y , z ) = y i +

Use Stokes' theorem to evaluate oCF*dr, where F(x,y,z)=yi+zj+xk and C is a triangle with vertices (0,0,0),(9,0,0) and (0,-9,9) oriented counterclockwise when viewed from above.
Let F(x,y,z)=xyi+7zj-7yk and let C be the intersection of plane x+z=6 and cylinder x2+y2=9, which is oriented counterclockwise when viewed from the top. Compute the line integral of F over C using Stokes' theorem.
Use Stokes' theorem to evaluate o C F * d r ,

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