Vector Calculus

A vector field $\vec{F}$ is irrotational (conservative) if:

Options:

• (A) $\nabla \times \vec{F} = 0$
• (B) $\nabla \cdot \vec{F} = 0$
• (C) $\vec{F} \times \vec{r} = 0$
• (D) $\nabla^2 \vec{F} = 0$