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Concept

Absolute Value of a Complex Number

The absolute value of a complex number , also called the modulus, is the distance from the origin to the point in the complex plane.
Point (a,b) that represents a complex number z = a + bi is plotted in the complex plane. A vector is drawn from the origin to point (a,b) such that its magnitude is the modulus of z.

The number can be interpreted as a vector and therefore, its length can be calculated using the Distance Formula.

For example, the absolute value of is

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