# Question: 6 find a complex number directed along the angle bisector...

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6. Find a complex number directed along the angle bisector between z = 1+i and w = 3−i. (In the above statement, we are identifiying a complex number with the corresponding vector starting at the origin.) Explain; draw an accurate plot of z, w, and the complex number you obtained. Hint: First get unit complex numbers in the directions of z and w. Then do some geometric reasoning. Generalize the result for any two nonzero complex numbers z and w. Explain, justify fully. Complex Analysis Question.