MathLiveMagnitude of a complex number
Gives the distance of a complex number from the origin in the complex plane, computed from its real and imaginary parts. It is used whenever the size of a complex number is needed, such as in polar form or when dividing complex numbers.
|z| = \sqrt{\operatorname{Re}(z)^2 + \operatorname{Im}(z)^2}What the symbols mean
| complex number | |
| real part of z | |
| imaginary part of z | |
| magnitude (modulus) of z, a non-negative real number |
About this formula
- FieldMathematics
- TopicComplex numbers
- LevelHigh school
- Also calledmodulus of a complex number, complex modulus, absolute value of a complex number, complex absolute value, distance from origin complex plane, magnitude of complex number formula
- SourceWikidata Q3317982
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