The term $$\hat{\jmath} \times r$$ represents the cross product of the unit vector $$\hat{\jmath}$$ and the positional vector $$r$$ in the context of fluid motion. Understanding this term is crucial for calculating vorticity and other related properties. The unit vectors $$\hat{\imath}$$, $$\hat{\jmath}$$, and $$\hat{k}$$ denote the coordinate directions, while $$r$$ typically signifies the position of the volume element in the fluid. The discussion emphasizes the need for clarity on the definitions and physical significance of these vectors to compute the desired quantities accurately. Overall, the role of $$\hat{\jmath} \times r$$ is integral to analyzing fluid dynamics.