The function in Example # is F(x,y,z)=y^2i+xyj+x^2zk
I don't understand this because stokes theorem is supposed to be in three dimensions I thought, and the function is in three dimension, but it is a two dimensional graph and al the online resources show two dimensions.
?2019-09-04T03:51:40Z
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Stoke's theorem says vec{A}= curl X vec{F}. Here F is given. The components are {all are partial derivatives} Ax= d/dy fz - d/dz fy=0-0=0 Ay= d/dz fx -d/dx fz=-2xz Az=d/dx fy -d/dy fx=y-2y=-2y. Now you have A(0 i -2xzj-yk)