Easy TRUE_FALSE +2 / -1

If |z₁ z₂| = |z₁| |z₂| for all complex numbers z₁, z₂.

Answer FALSE

Solution

|z₁ z₂| = |z₁| |z₂| always holds. Also |z₁ + z₂| ≤ |z₁| + |z₂| (triangle inequality).

About this question

Subject: Mathematics · Chapter: Complex Numbers and Quadratic Equations · Topic: Modulus and Argument

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