
Complex Numbers and Their Properties

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

Thomas White
FREE Resource
Read more
9 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the conjugate of a complex number Z = a + jb?
a - jb
a + jb
-a + jb
-a - jb
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the magnitude of a complex number Z = a + jb?
Square root of a^2 + b^2
a^2 + b^2
a + b
Square root of a^2 - b^2
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the magnitude of a complex number represent geometrically?
The distance from the origin
The angle with the x-axis
The area of the triangle formed
The length of the imaginary part
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In polar format, what is the angle of a complex number Z = re^(jθ)?
re
θ
r
jθ
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you find the angle θ of a complex number Z = a + jb?
tan inverse of a/b
sin inverse of b/a
tan inverse of b/a
cos inverse of a/b
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the magnitude of the ratio of two complex numbers Z1/Z2?
Magnitude of Z1 minus magnitude of Z2
Magnitude of Z1 plus magnitude of Z2
Magnitude of Z1 times magnitude of Z2
Magnitude of Z1 divided by magnitude of Z2
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you calculate the angle of the ratio of two complex numbers Z1/Z2?
Difference of their angles
Quotient of their angles
Product of their angles
Sum of their angles
8.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When adding two complex numbers Z1 = a1 + jb1 and Z2 = a2 + jb2, what is the result?
(a1 * a2) + j(b1 * b2)
(a1 + a2) + j(b1 + b2)
(a1 / a2) + j(b1 / b2)
(a1 - a2) + j(b1 - b2)
9.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the result of multiplying two complex numbers Z1 = a1 + jb1 and Z2 = a2 + jb2?
(a1a2 + b1b2) + j(a1b2 + a2b1)
(a1a2 - b1b2) + j(a1b2 - a2b1)
(a1a2 + b1b2) + j(a1b2 - a2b1)
(a1a2 - b1b2) + j(a1b2 + a2b1)
Similar Resources on Wayground
11 questions
Complex Number Operations and Properties

Interactive video
•
9th - 10th Grade
11 questions
Complex Numbers and Their Operations

Interactive video
•
9th - 10th Grade
11 questions
Vector Notation and Complex Numbers

Interactive video
•
9th - 10th Grade
8 questions
Summary of vectors

Interactive video
•
9th - 10th Grade
11 questions
Understanding Powers of 10 and Scientific Notation

Interactive video
•
9th - 10th Grade
14 questions
Modulus and Properties of Complex Numbers

Interactive video
•
9th - 10th Grade
14 questions
Modulus and Argument of Complex Numbers

Interactive video
•
9th - 10th Grade
11 questions
Complex Numbers and Compass Bearings

Interactive video
•
9th - 10th Grade
Popular Resources on Wayground
10 questions
Video Games

Quiz
•
6th - 12th Grade
20 questions
Brand Labels

Quiz
•
5th - 12th Grade
15 questions
Core 4 of Customer Service - Student Edition

Quiz
•
6th - 8th Grade
15 questions
What is Bullying?- Bullying Lesson Series 6-12

Lesson
•
11th Grade
25 questions
Multiplication Facts

Quiz
•
5th Grade
15 questions
Subtracting Integers

Quiz
•
7th Grade
22 questions
Adding Integers

Quiz
•
6th Grade
10 questions
Exploring Digital Citizenship Essentials

Interactive video
•
6th - 10th Grade
Discover more resources for Mathematics
12 questions
Graphing Inequalities on a Number Line

Quiz
•
9th Grade
15 questions
Two Step Equations

Quiz
•
9th Grade
15 questions
Slope

Lesson
•
7th - 9th Grade
15 questions
Solving Literal Equations

Quiz
•
8th - 9th Grade
12 questions
Absolute Value Equations

Quiz
•
9th Grade
10 questions
Decoding New Vocabulary Through Context Clues

Interactive video
•
6th - 10th Grade
20 questions
Parallel lines and transversals

Quiz
•
9th - 12th Grade
10 questions
Solving Absolute Value Equations

Quiz
•
9th Grade