In each of the following cases represent 21, 22 and 2₁ +22 in an Argand diagram and verify that ||²₁|-|2₂|1 ≤ 1²1 +2₂1 ≤ ₁+12₂|1 (b) =-1-1, 22 = 7 - i. (a) ₁ = 12 + 5i, 2 = −3+4i

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.7: Relations
Problem 19E: For each of the following relations R defined on the set A of all triangles in a plane, determine...
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In each of the following cases represent 21, 22 and 2₁ +22 in an Argand diagram and
verify that
||21|2₂||≤|21 +22|≤|21| + |22|1
(b) 2₁-1-1, 22 = 7-1.
(a) ₁12+5i, 22 = -3+4i
=
Transcribed Image Text:In each of the following cases represent 21, 22 and 2₁ +22 in an Argand diagram and verify that ||21|2₂||≤|21 +22|≤|21| + |22|1 (b) 2₁-1-1, 22 = 7-1. (a) ₁12+5i, 22 = -3+4i =
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