Let \( P\left(e^{i \alpha / 1}\right), Q\left(e^{i \alpha / 2}\right), R\left(e^{i \alpha / 3}\r... VIDEO
Let \( P\left(e^{i \alpha / 1}\right), Q\left(e^{i \alpha / 2}\right), R\left(e^{i \alpha / 3}\right) \) be the vertices a of a triangle \( P Q R \) in the Argand plane, the orthocenter of the triangle \( P Q R \) is
(a) \( e^{i\left(\alpha_{1}+\alpha_{2}+\alpha_{3}\right)} \)
(b) \( \frac{2}{3} e^{i\left(\alpha_{1}+\alpha_{2}+\alpha_{3}\right)} \)
(c) \( e^{i \alpha / 1}+e^{i \alpha / 2}+e^{i \alpha / 3} \)
(d) \( \frac{1}{3} e^{i\left(\alpha_{1}+\alpha_{2}+\alpha_{3}\right)} \)
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