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Multiplying by $$e^{i\alpha}$$ rotates $$z$$ by angle $$\alpha$$ counterclockwise.
Specifically, $$z e^{i\alpha} = |z| e^{i(\theta + \alpha)}$$.
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Multiplying by $$e^{i\alpha}$$ rotates $$z$$ by angle $$\alpha$$ counterclockwise.
Specifically, $$z e^{i\alpha} = |z| e^{i(\theta + \alpha)}$$.
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