What is the absolute of a complex number

The video tutorial explains the concept of the absolute value of a complex number, using the formula sqrt(a^2 + b^2). It highlights the similarity of this formula to the Pythagorean theorem and demonstrates how the absolute value represents the distance from the origin to the point on the complex plane. The tutorial provides a graphical representation to aid understanding.

What is the formula used to find the absolute value of a complex number?

• a^2 + b^2

• sqrt(a^2 + b^2)

• a^2 - b^2

• sqrt(a^2 - b^2)

In the expression A + BI, what does 'A' represent?

• The imaginary part

• The hypotenuse

• The origin

• The real part

How is the formula for the absolute value of a complex number related to the Pythagorean theorem?

• It measures the angle of a triangle

• It finds the midpoint of a line

• It determines the length of the hypotenuse

• It calculates the area of a triangle

What does the absolute value of a complex number represent on the complex plane?

• The distance from the origin to the complex number

• The midpoint of the complex number

• The area under the curve

• The angle from the origin

Which of the following best describes the graphical representation of the absolute value of a complex number?

• It is the angle between the real and imaginary axes

• It is the sum of the real and imaginary parts

• It is the distance from the origin to the point representing the complex number

• It is the product of the real and imaginary parts