If z = a + ib is a complex number we define the conjugate of z to be the complex number z = a - ib, and the magnitude of z to be |z| = √a² +6². (d) Using the formula in (b) that for any complex numbers z, z' or magnitude 1 there product and inverses also have magnitude 1. Hint: first prove that zz' = zz'

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A: Given: z=a+ib, z*=a-ib

Q: 1. Consider the nonzero complex numbers z1 = 3i, z2 = 6i and z3 = 4i. (a) Evaluate (z,z,z3) (1 + z2…

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A: given Data: z1=3i, z2=7i, z3=7i

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A: Introduction :

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