Distance Between Complex Numbers

The video tutorial explains how to find the distance between two complex numbers in the complex plane. It begins by introducing the concept and identifying the complex numbers 2 + 7i and 5 + 3i. The tutorial then explains the formula used to calculate the distance between these numbers. The formula involves finding the difference in real and imaginary parts, squaring them, and taking the square root of their sum. The video concludes by simplifying the calculation to arrive at the final distance.

What is the main objective of this example?

• To divide two complex numbers

• To find the sum of two complex numbers

• To find the distance between two complex numbers

• To multiply two complex numbers

What are the axes called in the complex plane?

• Positive and negative axes

• X and Y axes

• Real and imaginary axes

• Horizontal and vertical axes

Which two complex numbers are we finding the distance between?

• 3 + 4i and 6 + 2i

• 0 + 0i and 1 + 1i

• 1 + 5i and 4 + 3i

• 2 + 7i and 5 + 3i

What is the formula used to find the distance between two complex numbers?

• The difference of the imaginary parts

• The square root of the sum of the squares of the differences in real and imaginary parts

• The sum of the real parts

• The product of the real and imaginary parts

What is the first complex number, Z1, in this example?

• 3 + 5i

• 2 + 7i

• 7 + 2i

• 5 + 3i

What is the second complex number, Z2, in this example?

• 3 + 5i

• 2 + 7i

• 5 + 3i

• 7 + 2i

What is the difference in the real parts of the complex numbers?

• 5 - 2

• 2 - 5

• 7 - 3

• 3 - 7

What is the difference in the imaginary parts of the complex numbers?

• 7 - 3

• 3 - 7

• 5 - 2

• 2 - 5

What is the result of squaring the difference in the real parts?

• 4

• 9

• 16

• 25

What is the result of squaring the difference in the imaginary parts?

• 16

• 9

• 25

• 4