Consider the flow field given by \(\vec{V}=a x^{2} y \hat{i}-b y \hat{j}+c z^{2} \hat{k}\), where \(a=2 \mathrm{~m}^{-2} \cdot \mathrm{s}^{-1}, b=2 \mathrm{~s}^{-1}\), and \(c=1 \mathrm{~m}^{-1} \cdot \mathrm{s}^{-1}\). Determine

(a) the number of dimensions of the flow,

(b) if it is a possible incompressible flow, and

(c) the acceleration of a fluid particle at point \((x, y, z)=(2,1,3)\).