23. Let w x₁ + iy₁ and 2 = x₂ + y₂. (a) Show that the distance WZ between the points w and z is |z − w|. (b) Show that the angle that the line WZ makes with the positive real axis is arg(z-w)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
23. Let w x₁ + iy₁ and z = x₂ + y₂.
(a) Show that the distance WZ between the points w and z is |z − w|.
(b) Show that the angle that the line WZ makes with the positive real axis is arg(z − w).
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Transcribed Image Text:23. Let w x₁ + iy₁ and z = x₂ + y₂. (a) Show that the distance WZ between the points w and z is |z − w|. (b) Show that the angle that the line WZ makes with the positive real axis is arg(z − w). -
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