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The vector field $$\overrightarrow{F} = x\widehat{i} - y\widehat{j}$$ (where $$\widehat{i}$$ and $$\widehat{j}$$ are unit vectors) is
Divergence free, but not irrotational
Irrotational, but not divergence free
Divergence free and irrotational
Neither divergence free nor irrotational
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