Show that the equation of continuity in fluid mechanics satisfies dimensional homogeneity. In fluid mechanics, the differential form of the equation of continuity is given by t=(u) where is fluid density; t is time; u is the flow velocity vector; is the Del operator (also known as the nabla operator; see its Wiki page for further references). In 3D cartesian coordinate system, u=(ux,uy,uz), and =(x,y,z)