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Complex Number Calculator
Complex Number Calculator
Arithmetic, modulus, and argument on an Argand diagram
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First number (a)
Real part
Imaginary part (× i)
Operation
Add (a + b)
Subtract (a − b)
Multiply (a × b)
Divide (a ÷ b)
Second number (b)
Real part
Imaginary part (× i)
(3 + 2i) × (1 + 7i)
Result
-11 + 23i
Modulus |z|
25.495098
Argument arg(z)
115.56 deg · 2.0169 rad
a = 3 + 2i
Modulus |z| = 3.605551, Argument arg(z) = 33.6901 deg
b = 1 + 7i
Modulus |z| = 7.071068, Argument arg(z) = 81.8699 deg
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Argand diagram plotting the two input numbers and the result as vectors from the origin on the complex plane.
Argand diagram plotting the two input numbers and the result as vectors from the origin on the complex plane.
Re
Im
-21
-21
-14
-14
-7
-7
7
7
14
14
21
21
a
b
=
