Explain why the complex numbers z1 = 1 − √3i, z2 = 2 − 2√3i, and z3 = 5 − 5√3i can al have the same
argument. draw a diagram to suport your answer what is the modulus of each of the complex numbers z1, z2, and z3 given in problem 1 above?
3. write the complex numbers from exercise 1 in polar form.
4. explain why 1 − √3i and 2(cos(300°) + i sin(300°)) represent the same number.
5. julien stated that a given modulus and a given argument uniquely determine a complex number. confirm or refute
julien’s reasoning