Can someone help me. thank you

Question

If F(x,y,z)=(-xy)i-(xz)j+(2yz)k and C is the closed triangular curve oriented counterclockwise around the plane x+z=3 from y=0 to y=4 in the first octant viewed from above, use Stoke's theorem to evaluate ∮_CF• dr.

Answer 1

Arguably, the trickiest part of this problem is parametrizing the surface enclosed by the curve, C. Once that is done, most of what is left is following the procedure that the formula describes.