19. (a) Prove that for any complex number z, |z|² = zz. (b) Hence prove that for any complex numbers z₁ and 2₂: ||21 +22|² + |21 — 22|² = 2 (|21|² + |22|²)
19. (a) Prove that for any complex number z, |z|² = zz. (b) Hence prove that for any complex numbers z₁ and 2₂: ||21 +22|² + |21 — 22|² = 2 (|21|² + |22|²)
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.5: Trigonometric Form For Complex Numbers
Problem 72E
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