Question 1 • Math 4
When multiplying complex numbers, multiply their magnitudes and add their angles. For w = √3 + 3i, its magnitude is √(3 + 9) = 2√3, and its angle is 60° because tan(θ) = 3/√3 = √3. So the product is obtained by stretching z by 2√3 and rotating it 60° counterclockwise.
AI-written and checked against the verified answer.