The velocity field in a fluid is given to be $\vec{V} = \left ( 4xy \right )\hat{i} + 2\left ( x^{2} - y^{2} \right )\hat{j}$. Which of the following statement$(s)$ is/are correct?
- The velocity field is one-dimensional.
- The flow is incompressible.
- The flow is irrotational.
- The acceleration experienced by a fluid particle is zero at $(x = 0,y = 0)$.