Suppose V1, V2, V3 is an orthogonal set of vectors in R³. Let w be a vector in Span(V₁, V2, V3) such that -₁ · V₁ = 29, v₂ · V2 = 35.25, V3 · V3 = 25, w · v₁ = 145, w · v₂ = −176.25, w · V3 = 50, chen w = V₁+ V2+ V3.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v₁, V2, V3) such that
29, V₂ V₂ = : 35.25, V3 · V3 = 25,
•
V₁ • V₁ =
W. V1 =
: 145, w · v₂ = −176.25, w · v3 = 50,
V₁+
then w =
V2+
V3.
Transcribed Image Text:Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v₁, V2, V3) such that 29, V₂ V₂ = : 35.25, V3 · V3 = 25, • V₁ • V₁ = W. V1 = : 145, w · v₂ = −176.25, w · v3 = 50, V₁+ then w = V2+ V3.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education