Consider the vector space V = R^3 equipped with the standard inner product = u1v1 + u2v2 + u3v3. Let u = (1, 2, 3) and v = (4, 5, 6). Calculate the norm of u, denoted ||u||, and the inner product .

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 4EQ
icon
Related questions
Question

Consider the vector space V = R^3 equipped with the standard inner product <u, v> = u1v1 + u2v2 + u3v3.

Let u = (1, 2, 3) and v = (4, 5, 6).

Calculate the norm of u, denoted ||u||, and the inner product <u, v>.

Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Recommended textbooks for you
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage