The velocity field in a fluid flow is represented by
\(\vec V = 3x{y^2}\vec i + 2xy\vec j + \left( {2zy + 3t} \right)\vec k\)
The rotational velocity of a fluid element at a point P(1, 2, 1) and at time t = 3 is:
1
\(\vec i - 4\vec j + 4\vec k\)
2
\(\vec i - \vec 4k\)
3
\(\vec i + \vec 4k\)
4
\(\vec i + \vec 4j + \vec 4k\)