Exploring Absolute Value of Complex Numbers

The video tutorial explains how to plot a complex number on the complex plane and determine its absolute value. It introduces the concept of absolute value as the distance from the origin and demonstrates how to calculate it using the Pythagorean theorem. The tutorial also provides an algebraic method for finding the absolute value by squaring the real and imaginary parts, summing them, and taking the square root.

What is the real part of the complex number 3 - 4i?

• 4

• 0

• 3

• -4

On which axis is the imaginary part of a complex number plotted?

• Diagonal axis

• Vertical axis

• Horizontal axis

• None of the above

What does the absolute value of a complex number represent?

• The real part

• The imaginary part

• The distance from the origin

• The angle with the real axis

How can we calculate the absolute value of a complex number using geometry?

• By finding the area of a triangle

• By using the Pythagorean theorem

• By measuring the angle

• By adding the real and imaginary parts

What is the length of the base of the right triangle formed by the complex number 3 - 4i?

• 5

• 4

• 3

• 7

What is the length of the height of the right triangle formed by the complex number 3 - 4i?

• 4

• 7

• 3

• 5

What is the sum of the squares of the real and imaginary parts of 3 - 4i?

• 7

• 29

• 12

• 25

What is the absolute value of the complex number 3 - 4i?

• 5

• 7

• 3

• 4

Which formula can be used to find the absolute value of a complex number?

• Real part + Imaginary part

• Square root of (Real part squared + Imaginary part squared)

• Real part - Imaginary part

• Imaginary part / Real part

What is the principal square root of 25?

• 3

• 4

• 6

• 5