A u,v,z coordinate system is defined by xy=u , x^2- y^2= v, z=z which is orthogonal 1) Describe briefly the nature of each of the three families of a coordinate surfaces. 2) Sketch the system in xy plane showing the intersections of surfaces of constant u and surfaces of constant v with the xy plane. 3) Indicate the directions of u cap and v cap in all four quadrants. 4) Whether the system is right handed or left handed?

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