AnswersNC-Math 4 CRMultiply and Divide Complex Numbers

Multiply and Divide Complex Numbers Answers

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170189

Which description of the transformation of z on the complex plane gives the product of and ?

Question illustration
A
scale z by a factor of 4, then rotate counterclockwise radians
Option A
B
scale z by a factor of , then rotate counterclockwise radians
Option B
C
scale z by a factor of , and then rotate counterclockwise radians
Option C
D
scale z by a factor of 4, then rotate counterclockwise radians
Option D
170190

Which description of the transformation of z on the complex plane gives the quotient of and ?

Question illustration
A
scale z by a factor of 2 and rotate it 5 degrees clockwise
Option A
B
scale z by a factor of and rotate it 5 degrees clockwise
Option B
C
scale z by a factor of 2 and rotate it 5 degrees counterclockwise
Option C
D
scale z by a factor of and rotate it 5 degrees counterclockwise
Option D
170192

✔ 4 - i4 + 2i17 + i17 - i

A
✔ 4 - i
B
4 + 2i
C
17 + i
D
17 - i
170193

What is 6[cos(70°) + i sin(70°)] ÷ 2[cos(5°) + i sin(5°)]?

A
3[cos(75°) + i sin(75°)]
B
4[cos(75°) + i sin(75°)]
C
3[cos(65°) + i sin(65°)]
D
4[cos(65°) + i sin(65°)]
170195

✔ 3 + i-3 + i-3 - i

A
✔ 3 + i
B
-3 + i
C
-3 - i

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