Verify Stokes' Theorem for the given vector field and surface, oriented with an upwardpointing normal.

\(\mathbf{F}=\langle y z, 0, xangle, \quad\) the portion of the plane \(\frac{x}{2}+\frac{y}{3}+z=1\), where \(x, y, z \geq 0\)

THEOREM 1 Stokes' Theorem Let S be a surface as described earlier, and let F be a vector field whose components have continuous partial derivatives on an open region containing S. as F.dr = JG Ils The integral on the left is defined relative to the boundary orientation of S. If S is a closed surface, then curl(F). ds curl(F) dS=0 1