. Modulus of a Complex Number Just as the absolute value of a real number measures the distance of that number from origin along the real number line, the modulus of a complex number measures the distance of that number from the origin in the complex plane. Observe that the length of the line from the origin along the radial line to z iy is simply the hypotenuse of a right triangle, with one side of length x and the other side of length y . Definition .
If z iy , then the modulus of z , denoted by z , is defined by z = ++ For instance (i) i (ii) (iii) Note If z iy , then z iy , then z z iy iy iy = z . | z z z =