A) \[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial u}{\partial x}-\frac{\partial v}{\partial y} \right)\]
B) \[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial u}{\partial x}+\frac{\partial v}{\partial y} \right)\]
C) \[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial v}{\partial x}-\frac{\partial u}{\partial y} \right)\]
D) \[{{\omega }_{z}}=\frac{1}{2}\,\,\left( \frac{\partial v}{\partial x}-\frac{\partial u}{\partial y} \right)\]
Correct Answer: D
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