1. Definition
Complex numbers correspond to vectors adding by the parallelogram rule; moduli satisfy |z₁+z₂|≤|z₁|+|z₂|, with equality when aligned.
3. Properties & Laws
- Triangle inequality;
- Equality when aligned;
- Parallelogram;
- Subtraction gives point distance.
4. Steps
- Enter two numbers;
- Click "Verify";
- Or click "Load Example".
5. Worked Examples
Example: z1=3+4i,z2=1+2i: |sum|≈7.21 ≤ 5+√5≈7.24, holds.
6. Common Pitfalls
Equality condition;
Compute moduli first;
Aligned for equality.