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The curl of the gradient of the scaler field defined by $V=2x^2y+3y^2z+4z^2x$ is

  1. $4xy \textbf{a}_x+6yz \textbf{a}_y+8zx \textbf{a}_z$
  2. $4 \textbf{a}_x+6\textbf{a}_y+8 \textbf{a}_z$
  3. $(4xy+4z^2) \textbf{a}_x+(2x^2+6yz) \textbf{a}_y+(3y^2+8zx) \textbf{a}_z$
  4. $0$
in Electromagnetic Fields by (1.5k points)
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