If a +bi and c+ di represent two complex numbers with real components, a, b, c and d, then which of the following represents the imaginary part of their product? (1) ас - bd (3) ab+cd (2) ad – bc (4) bc + ad

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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If a+bi and c+di represent two complex numbers with real components, a, b, c and d, then which of the
following represents the imaginary part of their product?
(1) ас- bd
(3) ab+cd
(2) ad – bc
(4) bc+ad
Transcribed Image Text:If a+bi and c+di represent two complex numbers with real components, a, b, c and d, then which of the following represents the imaginary part of their product? (1) ас- bd (3) ab+cd (2) ad – bc (4) bc+ad
Expert Solution
Step 1

a + bic+ di = ac + di + bic + di = ac + adi +bci +bdi2 =ac-bd +ibc+ad        [i= -1 ]

 

  

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