Consider the family of rotating vector fields -Y (x² + y²)n/2 V(x, y, z) = î+ x (x² + y²)n/2Ĵ+0k, nez as shown over the page. (i) Compute the curl of V; i.e. Vx V. Simplify your answer as much as possible. (ii) Convert the Cartesian forms of V and V × V into cylindrical forms. Simplify your answers as much as possible. (iii) State the domains for V and Vx V - it will change with n.

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