Question: The polynomials p(x) = x(x − 1) and q(x) = ½ (x − 1)(x − 2) are orthogonal when the inner product is defined by (p(x), q(x)) = p(0)q(0) + p(1)q(1) +p(2)q(2). What is the distance between these vectors using the norm determined by the same inner product?
Question: The polynomials p(x) = x(x − 1) and q(x) = ½ (x − 1)(x − 2) are orthogonal when the inner product is defined by (p(x), q(x)) = p(0)q(0) + p(1)q(1) +p(2)q(2). What is the distance between these vectors using the norm determined by the same inner product?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 31E
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