Prove the following: a) Show that ||ū + ở|| < ||ū|| + ||7||. b) Show that ||ū x 3||² = (ū ·ū)(³ · 7) – (ū · 3)².

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter3: Groups
Section3.2: Properties Of Group Elements
Problem 31E: 31. Prove statement of Theorem : for all integers and .
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Prove the following:
a) Show that ||ủ + ở|| < ||ū|| + ||3||.
b) Show that ||ū x ³||² = (ū · ū)( · i) – (ū · 3)².
Transcribed Image Text:Prove the following: a) Show that ||ủ + ở|| < ||ū|| + ||3||. b) Show that ||ū x ³||² = (ū · ū)( · i) – (ū · 3)².
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