Use the inner product (p, q) = aobo + a₁b₁ + a₂b₂ to find (p, q), ||p||, ||9||, and d(p, q) for the polynomials in P2. p(x) = 3x + 2x², 9(x) = x - x² (a) (p, q) (b) ||p|| (c) (d) ||9|| d(p, q)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 46E
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Use the inner product (p, q) = aobo + a₁b₁ + a2b2 to find (p, q), ||p||, ||9||, and d(p, q) for the polynomials in P2.
p(x) = 3 x + 2x², g(x) = x - x²
(a) (p, q)
(b)
(c)
(d)
||P||
||9||
d(p, q)
Transcribed Image Text:Use the inner product (p, q) = aobo + a₁b₁ + a2b2 to find (p, q), ||p||, ||9||, and d(p, q) for the polynomials in P2. p(x) = 3 x + 2x², g(x) = x - x² (a) (p, q) (b) (c) (d) ||P|| ||9|| d(p, q)
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