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Properties of Modulus

If

Since the modulus of a complex number is always non-negative, therefore,

Again,

Since the modulus of a complex number is always non-negative, therefore,

**z**_{1}and**z**_{2}are any two complex numbers, then**(i) | z**_{1}z_{2}| = | z_{1}| . | z_{2}|**Proof:**We know thatSince the modulus of a complex number is always non-negative, therefore,

**| z**_{1}z_{2}| = | z_{1}| . | z_{2}|.Again,

Since the modulus of a complex number is always non-negative, therefore,

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