Vector Calculus

Stokes' Theorem states that $\oint_C \vec{F} \cdot d\vec{r}$ along a closed boundary curve $C$ equals:

Options:

• (A) $\iint_S (\nabla \times \vec{F}) \cdot d\vec{S}$
• (B) $\iint_S (\nabla \cdot \vec{F}) dS$
• (C) $\iiint_V (\nabla \times \vec{F}) dV$
• (D) $\iint_S \vec{F} \cdot d\vec{S}$