Consider P2 with the standard inner product. Then which oe of the following pair is orthogonal a) p(x) = 2+x+x², q(x) = 1– x – 2² b) p(x) = 2 + x², q(x) = –2 – x² c) p(x) = 2 – x², q(x) = 2 + x² %3D d) p(x) = 2 + x², q(x) = } + x² e) p(x) = 2+x + x², q(x) = 2 – x – x² %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 15E
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Consider P2 with the standard inner product.
Then which one of the following pair is
orthogonal
a) p(x) = 2+x+x², q(x) = 1– x – a?
b) p(x) = 2+ x², q(x) = -2 – x²
c) p(x) = 2 – x², q(x) = 2+ x²
%3D
d) p(x) = 2 + x², q(x) = } + x²
e) p(x) = 2+x + a², q(x) = 2 – a – a?
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Transcribed Image Text:Consider P2 with the standard inner product. Then which one of the following pair is orthogonal a) p(x) = 2+x+x², q(x) = 1– x – a? b) p(x) = 2+ x², q(x) = -2 – x² c) p(x) = 2 – x², q(x) = 2+ x² %3D d) p(x) = 2 + x², q(x) = } + x² e) p(x) = 2+x + a², q(x) = 2 – a – a? - -
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