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GATE Mechanical 2014 Set 2 | Question: 3

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Curl of vector $\overrightarrow{F}=x^2z^2\hat{i}-2xy^2z\hat{j}+2y^2z^3\hat{k}$ is

  1. $(4yz^3+2xy^2)\hat{i}+2x^2z\hat{j}-2y^2z\hat{k}$
  2. $(4yz^3+2xy^2)\hat{i}-2x^2z\hat{j}-2y^2z\hat{k}$
  3. $2xz^2\hat{i}-4xyz\hat{j}+6y^2z^2\hat{k}$
  4. $2xz^2\hat{i}+4xyz\hat{j}+6y^2z^2\hat{k}$
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