19. Sums and differences In the accompanying figure, it looks as if vi + v2 and Vị – V2 are orthogonal. Is this mere coincidence, or are there circumstances under which we may expect the sum of two vectors to be orthogonal to their difference? Give reasons for your answer. V2 V1 + v2 V1 -V2 V1 - V2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 14E
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19. Sums and differences In the accompanying figure, it looks as
if vi + v2 and Vị – V2 are orthogonal. Is this mere coincidence,
or are there circumstances under which we may expect the sum of
two vectors to be orthogonal to their difference? Give reasons for
your answer.
V2
V1 + v2
V1
-V2
V1 - V2
Transcribed Image Text:19. Sums and differences In the accompanying figure, it looks as if vi + v2 and Vị – V2 are orthogonal. Is this mere coincidence, or are there circumstances under which we may expect the sum of two vectors to be orthogonal to their difference? Give reasons for your answer. V2 V1 + v2 V1 -V2 V1 - V2
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