Q1: The u-, -, z-coordinate system frequently used in electrostatics and in hydrodynamics is defined by xy=u, x²-y²=v, z=2. This u-, -, 2-system is orthogonal. (a) In words, describe briefly the nature of each of the three families of coordinate surfaces. (b) Sketch the system in the xy-plane showing the intersections of surfaces of constant u and surfaces of constant u with the xy-plane. (c) Indicate the directions of the unit vectors ê, and ê, in all four quadrants. = (d) Finally, is this u-, -, 2-system right-handed (êu xê, +ê) or left-handed (êu x ê₁ = -ê₂)?