10
AssignmentMultiple Choice

Multiply and Divide Complex Numbers

Question 10 • NC-Math 4 CR

Let z = 3(cos(15°) + i sin(15°)) and w = 5(cos(90°) + i sin(90°)). What best describes the geometric construction of the quotient on the complex plane?

Question illustration
Answer
A
z is scaled by a factor of and rotated 90 degrees clockwise.
B
z is scaled by a factor of 1 and rotated 90 degrees clockwise.
C
z is scaled by a factor of 1 and rotated 90 degrees counterclockwise.
D
z is scaled by a factor of and rotated 90 degrees counterclockwise.
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