
Modulus and Distance in Complex Numbers

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Olivia Brooks
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary goal of the problem discussed in the video?
To determine the distance between two complex numbers
To find the sum of two complex numbers
To divide two complex numbers
To multiply two complex numbers
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in calculating the modulus of the difference between two complex numbers?
Perform a straight substitution
Multiply the complex numbers
Subtract the imaginary parts
Add the real parts
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which formula is used to calculate the modulus of a complex number?
a^2 - b^2
sqrt(a^2 + b^2)
a^2 + b^2
a + b
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the modulus of the complex number 2 + 2i?
4
2
2 sqrt(2)
sqrt(8)
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How are complex numbers represented on the complex plane?
As points
As lines
As circles
As triangles
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What shape is formed when plotting z, w, and z-w on the complex plane?
Triangle
Square
Parallelogram
Circle
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the modulus of z-w represent on the complex plane?
The angle between z and w
The sum of z and w
The distance from the origin to z-w
The midpoint of z and w
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