Let |z₁|= 1, |z₂|=2, |z3|= 3 and z₁+z₂+z3=3+√ then the value of Re(Z₁ Z2 + Z2 Z3 + Z3 Z₁) is e to (where Z₁, Z₂ and z, are complex numbers) (A) 1 (B) -1 (C) - 1 (D) 0

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.6: De Moivre’s Theorem And Nth Roots Of Complex Numbers
Problem 7E
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Let |z₁|= 1, |z₂| = 2, |z3|= 3 and Z₁ + Z₂ + Z3 = 3+√√√5i,
then the value of Re(Z₁ Z2 + Z2 Z3 + Z3Z1) is equal
to (where Z₁, Z₂ and z3 are complex numbers)
(A) 1
(B) -1
(0) - 1/1/2 (D) 0
Transcribed Image Text:Let |z₁|= 1, |z₂| = 2, |z3|= 3 and Z₁ + Z₂ + Z3 = 3+√√√5i, then the value of Re(Z₁ Z2 + Z2 Z3 + Z3Z1) is equal to (where Z₁, Z₂ and z3 are complex numbers) (A) 1 (B) -1 (0) - 1/1/2 (D) 0
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