Z = z1 + z2Z = 2 + (14 - i)Z = 16 - i
Z = z2 - z1Z = (14 - i) - 2Z = 12 - i
Z = z1 / z2Z = 2 / (14 - i)To divide complex numbers, we need to multiply the numerator and denominator by the conjugate of the denominator:Z = (2 (14 + i)) / ((14 - i) (14 + i))Z = (28 + 2i) / (196 + 1)Z = (28 + 2i) / 197
Therefore,
Z = z1 + z2
Z = 2 + (14 - i)
Z = 16 - i
Z = z2 - z1
Z = (14 - i) - 2
Z = 12 - i
Z = z1 / z2
Z = 2 / (14 - i)
To divide complex numbers, we need to multiply the numerator and denominator by the conjugate of the denominator:
Z = (2 (14 + i)) / ((14 - i) (14 + i))
Z = (28 + 2i) / (196 + 1)
Z = (28 + 2i) / 197
Therefore,
Z = 16 - iZ = 12 - iZ = (28 + 2i) / 197