Mathematics · Complex Numbers
If z1 and z2 are two complex numbers, then which one of the following statements is NOT true?
- 1|z1 · z2| = |z1| · |z2|
- 2|z1 + z2| ≤ |z1| + |z2|
- 3|z1 - z2| ≤ ||z1| - |z2||✓
- 4|z1 + z2|2 + |z1 - z2|2 = 2(|z1|2 + |z2|2)
Correct answer
|z1 - z2| ≤ ||z1| - |z2||
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