The vector field of the question 6 is given. Determine the value of its divergence at the point \(\mathrm{P}\) of Cartesian coordinates \((2,4,3)\).

Question 6

The following vector field is given: \(\mathbf{A}=\frac{1}{2} x^{2} \hat{\mathbf{i}}-x y \hat{\mathbf{j}}+x y z \hat{\mathbf{k}}\). Check whether the field is irrotational.