Consider the pressure-driven flow between stationary parallel plates separated by distance \(2 b\). Coordinate \(y\) is measured from the channel centerline. The velocity field is given by \(u=\) \(u_{\max }\left[1-(y / b)^{2}\right]\). Evaluate the rates of linear and angular deformation. Obtain an expression for the vorticity vector, \(\vec{\zeta}\). Find the location where the vorticity is a maximum.