## Answers

Given a) z_1 = 3 and z_2 = -j3 t = z_1 + z_2 = 3 - j3 t in polar form t = squareroot 3^2 + 3^2 tan^- 1 (- 3/3) t = 4.2426 angle - 45 degree S = z_1 - z_2 = 3 + j3 s = squareroot 3 + 2 + 3^2 tan^- 1 (+ 3/8) s = 4.2426 angle 45 degree b) z_1 = 3 angle 30 degree = 2.5980 + 1.5 j z_2 = 3 angle - 150 degree = + 2.5980 - 1.5 j t = z_1 + z_2 = 2.5980 + 1.5j + 2.5980 - 1.5 j t = 5.196 angle 0 degree s = z_1 - z_2 = 2.5980 + 1.5 j - 2.5980 + 1.5 j = 3 j s = 3 angle 90 degree

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