51. Velocity vector of a flow field is given as \[\overrightarrow {\rm{V}} = 2{\rm{xy\hat i}} - {{\rm{x}}^2}{\rm{z\hat j}}{\rm{.}}\] The vorticity vector at (1, 1, 1) is
52. If $$\overrightarrow {\text{r}} $$ is the position vector of any point on a closed surface S that encloses volume V then $$\iint\limits_{\text{S}} {\overrightarrow {\text{r}} \cdot {\text{d}}\overrightarrow {\text{S}} }$$ is equal to
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