Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?

Write the complex numbers in polar form: z = |z|e^(iθ) and w = |w|e^(iφ). Then z/w = (|z|/|w|)e^(i(θ−φ)), so division scales z by the reciprocal of |w| and subtracts w’s argument, which is a clockwise rotation. Thus, the correct statement is “Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.”

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