Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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2

2. (a) Show that for z, w € C: |z − w|² = |z|² + |w|² - 2 Re(wz). (b) Sketch the set of complex numbers z EC satisfying the equation |z|² - 2 Re((1 - i) z) = 0. [Hint: use (a) with w = 1+ i.]
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Transcribed Image Text:2. (a) Show that for z, w € C: |z − w|² = |z|² + |w|² - 2 Re(wz). (b) Sketch the set of complex numbers z EC satisfying the equation |z|² - 2 Re((1 - i) z) = 0. [Hint: use (a) with w = 1+ i.]
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