For each of the following vectors, find their length in the given inner-product space. Say if they are unit vectors, and if they are not, normalize them. (a) (1,2,0,2) in R4 with the usual dot-product. (b) sin(x) in C([-,π]) with the inner-product as in problem 2(c) (c) (1/√58,-2/√58,3/√58) in R³ with the inner-product (y) = x Ay with A as in problem 2.
For each of the following vectors, find their length in the given inner-product space. Say if they are unit vectors, and if they are not, normalize them. (a) (1,2,0,2) in R4 with the usual dot-product. (b) sin(x) in C([-,π]) with the inner-product as in problem 2(c) (c) (1/√58,-2/√58,3/√58) in R³ with the inner-product (y) = x Ay with A as in problem 2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 22E
Question
Please help with parts a,b,c with solution and steps!
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