Let z = 0.3(cos(31°) + i sin(31°)) and w = 20(cos(18°) + i sin(18°)).Which statement describes the geometric construction of the product zw on the complex plane?

In polar form, multiplying complex numbers multiplies their magnitudes and adds their angles. To construct zw from z, multiply z’s magnitude by |w| = 20 and rotate it by w’s angle, 18° counterclockwise. Thus the correct statement is “Stretch z by a factor of 20, then rotate 18° counterclockwise.”

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