Question:medium

Curl of \[ \vec{V}=e^{xyz}(\hat{i}+\hat{j}+\hat{k}) \] at the point \((1,1,1)\) is

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If all three components of a vector field are identical, \[ \boxed{ P=Q=R, } \] then the mixed partial derivatives cancel, giving \[ \boxed{\nabla\times\vec{V}=\hat{0}.} \]

Updated On: Jul 14, 2026

\(e\)
\(1\)
\(0\)
\(\hat{0}\)

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The Correct Option is D

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