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Consider a velocity vector, \( \vec{V} \) in (x, y, z) coordinates given below. Pick one or more 
CORRECT statement(s) from the choices given below:
\[ \vec{V} = u\hat{i} + v\hat{j} \]

  • GATE CE - 2025
  • GATE CE
  • Engineering Mathematics
  • Divergence and curl
Let the vector \(\vec{v} = v_1\hat{i} + v_2\hat{j} + v_3\hat{k}\) be a differentiable vector function of Cartesian coordinates x, y and z. The curl of the vector \(\vec{v}\) is given by \(\text{curl } \vec{v} =\)
  • GATE AG - 2021
  • GATE AG
  • Engineering Mathematics
  • Divergence and curl