Add and Subtract Complex Numbers Answers

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1
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What is the sum of – i and 2 – i?

Question illustration
A
(2 + ) – (1 – )i
Option A
B
(2 + ) – (1 + )i
Option B
C
(2 + ) + (1 + )i
Option C
D
(2 + ) + (1 – )i
Option D
2
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Review the graph.

Question illustration
A
quadrant I
B
quadrant II
C
quadrant III
D
quadrant IV
4

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
5

Consider z1 = 4 – 4 i and z2 = –16i. What is z1 – z2?

Question illustration
A
4 – 12
Option A
B
4 + 12
Option B
C
4 – 4( – 4)i
Option C
D
4 + 4 ( – 4)i
Option D
9

Consider w1 = 4 – 4i and w2 = –2. What is w2 – w1?

A
2 – 4i
B
2 + 4i
C
–6 + 4i
D
–6 – 4i
10

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

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