If $∇ · F = 0$ and $∇ ·G = 0$, would $F + G$ or $F \times G$ have zero divergence guaranteed? I know divergence is closed under addition, and $\operatorname*{div}(F\times G)=G· \operatorname*{curl} F − F · \operatorname*{curl} G$.
2026-03-27 08:47:02.1774601222
Zero divergence in vector field
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