AnswersNC-Math 4 CRAdd and Subtract Complex Numbers

Add and Subtract Complex Numbers Answers

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1
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Review the graph.

Question illustration
A
difference: 0 + 4i; location: on the real axis
B
difference: –10 + 0i; location: on the real axis
C
difference: 0 + 4i; location: on the imaginary axis
D
difference: –10 + 0i; location: on the imaginary axis
2
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Consider w = 2(cos(210°) + isin(210°)) and z = 2(cos(330°) + isin(330°)). What is w – z expressed in rectangular form?

A
2i
B
–2i
C
–2 + 0i
Option C
D
–2 – 2i
Option D
3

Review the graph.

Question illustration
A
A
B
B
C
C
D
D
4

Consider and z = 1(cos(60°) + isin(60°)). What is w + z expressed in rectangular form?

Question illustration
A
StartFraction StartRoot 3 EndRoot minus 1 Over 4 EndFraction i
Option A
B
StartFraction StartRoot 3 EndRoot + 1 Over 4 EndFraction i
Option B
C
StartFraction StartRoot 3 EndRoot minus 1 Over 2 EndFraction i
Option C
D
StartFraction StartRoot 3 EndRoot + 1 Over 2 EndFraction i
Option D
5

Review the graph.

Question illustration
A
A
B
B
C
C
D
D
6

Review the graph.

Question illustration
A
A
B
B
C
C
D
D
7

Review the graph.

Question illustration
A
A
B
B
C
C
D
D
8

Review the graph.

Question illustration
A
A
B
B
C
C
D
D
9

Consider and . What is w + z expressed in polar form?

Question illustration
A
cos(0) + sin(0)
B
Cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction)
Option B
C
Cosine (pi) + I sine (pi)
Option C
D
Cosine (StartFraction 3 pi Over 2 EndFraction) + I sine (StartFraction 3 pi Over 2 EndFraction)
Option D
10

Given and , what is ?

Question illustration
A
8 + 3 StartRoot 3 EndRoot i
Option A
B
- 7 - 8 StartRoot 3 EndRoot i
Option B
C
7 + 10 StartRoot 3 EndRoot i
Option C
D
- 7 + 10 StartRoot 3 EndRoot i
Option D

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