Question: Explain and work out each question on Complex numbers 3. (a) Given that z = V3 + i 1 + iv3 , find the |z|

Explain and work out each question on Complex numbers

3. (a) Given that z = V3 + i 1 + iv3 , find the |z| and arg(z). [6] (b) Find the value of the real number 1 in the case when V3 + in 1 + iv3 is real. [3] 4. The complex conjugate of z is denoted by Z. Solve the equation z + 2z = |z + 21, where z a complex number. [6]

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