Question

Which statement describes how to geometrically determine the product of z = 25 - i and w= /3 + 3i on the

complex plane?

1. Stretch z by a factor of /3 and rotate 30° counterclockwise.

2. Stretch z by a factor of /3 and rotate 60° counterclockwise.

3. Stretch z by a factor of 2/3 and rotate 30° counterclockwise.

4. Stretch z by a factor of 2/3 and rotate 60° counterclockwise.

Answer 1

It’s D, I did the test on edge

Explanation:

Answer 2

9514 1404 393

Answer:

4. Stretch z by a factor of 2√3 and rotate 60° counterclockwise.

Explanation:

w = √3 +3i = 2√3∠60°

Multiplying z by w will stretch it by a factor of 2√3 and rotate it 60° CCW.