now examine |a + bi| and complete the definition below. the absolute value of any complex number a + bi is…

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

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

Answer

Brief Explanations:

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 (a + bi)) 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 formula for (|a + bi|).

Answer:

distance