Vector Calculus

A vector field $\vec{V}$ is called solenoidal if its divergence is identically zero, and irrotational if:

Options:

• (A) $\nabla \times \vec{V} = 0$
• (B) $\nabla \cdot \vec{V} = 1$
• (C) $\nabla^2 \vec{V} = 0$
• (D) $\vec{V} \cdot \vec{r} = 0$