Use Stokes' theorem to evaluate §F dř for the vector field F(x, y, =) = -3y'i + 4zĵ + 6xk ; where C is the triangle in the plane z = x/2 with vertices (2,0,0), (0,-2,1) and (0,0,0) with anti-clockwise...

Use Stoke's theorem to evaluate F.dr for the vector field F(x,y,z) = -3y²i+4zj+6xk; C is the triangle in the plane z=x/2 with vertices (2,0,0) , (0,-2,1) and (0,0,0) with anti-clockwise orientation looking down the positive z-axis.

Text book: Early Transcendentals 10th Edition by Howard Anton; Chapter: 15.8


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Extracted text: Use Stokes' theorem to evaluate §F dř for the vector field F(x, y, =) = -3y'i + 4zĵ + 6xk ; where C is the triangle in the plane z = x/2 with vertices (2,0,0), (0,-2,1) and (0,0,0) with anti-clockwise orientation looking down the positive z- axis.