Add and Subtract Complex Numbers

Question 1

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

Revolt · Accepted Answer

Cosine (StartFraction pi Over 2 EndFraction) + I sine (StartFraction pi Over 2 EndFraction)

Question 2

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

Revolt · Accepted Answer

4 – 4( – 4)i

Question 3

Review the graph.

Revolt · Accepted Answer

quadrant IV

Question 4

Review the graph.

Revolt · Accepted Answer

A

Question 5

Consider w = 2(cos(210°) + isin(210°)) and z = 2(cos(330°) + isin(330°)). What is w – z expressed in rectangular form?

Revolt · Accepted Answer

–2 + 0i

Question 6

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

Revolt · Accepted Answer

–6 + 4i

Question 7

Given w1 = –2 + 3i and w2 = 4 – 4i, which complex number can be added to w1 to produce w2?

Revolt · Accepted Answer

6 – 7i

Question 8

Review the graph.

Revolt · Accepted Answer

B

Question 9

Review the graph.

Revolt · Accepted Answer

D

Question 10

Review the graph.

Revolt · Accepted Answer

difference: –10 + 0i; location: on the real axis

Add and Subtract Complex Numbers Answers