a. The complex number z is defined as z = k 6i, where k is a

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a. The complex number z is defined as z = k − 6i, where k is a real value.

Find and simplify expressions, in terms of k, for zz* and z/z*,your answers in the form x + iy where x and y are real.

b. The complex numbers u and w are defined as

Find and simplify expressions for uw and u/w, giving your answers in the form re, where r > 0 and −π < θ < π.

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