Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v1, v2, V3) such that VI. V1 = 38, v2 V2 = 162, v3 v3 = 36, w. v1 = 114, wv2 = -324, w. v3 = -108, then w = 3 V1+ -2 V2+ -3 V3.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 36E
icon
Related questions
Question
wwwwww Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v1, v2, V3) such that
V₁ V1 = 38, v2 · V2 =
162, v3 V3 = 36,
w.v₁ = 114, w v2 = -324, w v3 = -108,
then w = 3
V1+ -2
V2+ -3
V3.
Transcribed Image Text:wwwwww Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v1, v2, V3) such that V₁ V1 = 38, v2 · V2 = 162, v3 V3 = 36, w.v₁ = 114, w v2 = -324, w v3 = -108, then w = 3 V1+ -2 V2+ -3 V3.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Similar questions
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
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 (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,