$($ii$)$ If $u=2x^2+3y,v=-2xy+3y^2+3zy,$ and $w=-(\frac{3}{2})z^2+2xz-9y^{2}z$ are the components of flow velocity, find the magnitudes and directions of $($i$)$ translational velocity, $($ii$)$ rotational velocity, $($iii$)$ acceleration, and $($iv$)$ the vorticity of a fluid element at $(1,1,1).$ Is it irrotational flow?

$8+(34)$