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GATE2020-ME-1: 16

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The velocity field of an incompressible flow in a Cartesian system is represented by

$$\overrightarrow{V}=2\left ( x^{2}-y^{2} \right )\widehat{i}+v\widehat{j}+3\widehat{k}$$

Which one of the following expressions for $v$ is valid?

  1. $-4xz + 6xy$
  2. $ – 4xy – 4xz$
  3. $4xz – 6xy$
  4. $4xy + 4xz$
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