In P3 with inner product defined by (p, q) = P(x)q(ai), where x₁ = 1,2 = 2, x3 = 3, let p(x) = 5x² 12x + 2 q(x)=x²-5 . Find the vector projection of p(x) onto g(x): Find the component of p(x) orthogonal to g(x): Note: enter your answers as a polynomials (coefficients should come out integers!). E.g: for 4x3, enter 4x-3 for 3x² x+5, enter 3x2-x+5

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 28E
icon
Related questions
Question
In P3 with inner product defined by (p, q) = P(x)q(ai), where x₁ = 1,2 = 2, x3 = 3, let
p(x) = 5x² 12x + 2
q(x)=x²-5
. Find the vector projection of p(x) onto g(x):
Find the component of p(x) orthogonal to g(x):
Note: enter your answers as a polynomials (coefficients should come out integers!). E.g:
for 4x3, enter 4x-3
for 3x²
x+5, enter 3x2-x+5
Transcribed Image Text:In P3 with inner product defined by (p, q) = P(x)q(ai), where x₁ = 1,2 = 2, x3 = 3, let p(x) = 5x² 12x + 2 q(x)=x²-5 . Find the vector projection of p(x) onto g(x): Find the component of p(x) orthogonal to g(x): Note: enter your answers as a polynomials (coefficients should come out integers!). E.g: for 4x3, enter 4x-3 for 3x² x+5, enter 3x2-x+5
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer