Answer
True
Work Step by Step
By Stoke's Theorem: \[ \oint_{C} \mathbf{F} \cdot d\mathbf{r} = \iint_{\sigma} \nabla \times \mathbf{F} \cdot \mathbf{n} \, dS \] Then Stoke's Theorem relates a surface integral over a surface to a line integral along the boundary curve. Result: \[True\]
