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The vector field F = xî - yĵ (where î and ĵ are unit vector) is
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- divergence free, but not irrotational
- irrotational, but not divergence free
- divergence free and irrotational
- neither divergence free nor irrotational
Correct Option: C
F = xi - yj
For divergence:-
grade F = ∇F
Hence vector field is divergence free
For is rotational,
Curl F = ∇ × F
Hence vector field is irrotational.
