9
QuizMultiple Choice

Multiply and Divide Complex Numbers

Question 9 • *PGHS Precalculus B

Which phrase describes the geometric interpretation of dividing a complex number z by i?

Answer
A
Reflect z across the real axis.
B
Reflect z across the imaginary axis.
C
Rotate z by 90° clockwise about the origin.
D
Rotate z by 90° counterclockwise about the origin.

Explanation

Dividing by i is the same as multiplying by 1/i = −i. Multiplication by −i rotates a complex number 90° clockwise about the origin, so the correct description is “Rotate z by 90° clockwise about the origin.”

AI-written and checked against the verified answer.

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