Vector Calculus

The work done by a force field $\vec{F}$ in moving a particle along a path $C$ from point $A$ to $B$ is given by:

Options:

• (A) $\int_C \vec{F} \cdot d\vec{r}$
• (B) $\int_C \vec{F} \times d\vec{r}$
• (C) $\int_C |\vec{F}| dr$
• (D) $\iint_S \vec{F} \cdot d\vec{S}$