Question

now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is the from (a, b) to (0, 0) in the complex plane. done

Explanation:

In the complex - plane, the absolute value (or modulus) of a complex number \(a + bi\) represents the distance between the point \((a,b)\) corresponding to the complex number and the origin \((0,0)\). This is based on the distance formula in a two - dimensional plane \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\), where for the points \((a,b)\) and \((0,0)\), \(d = \sqrt{(a - 0)^2+(b - 0)^2}=\sqrt{a^{2}+b^{2}}\), which is the definition of \(|a + bi|\).

Answer:

distance