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 = 42, V₂ · V₂ = 131, V3 · V3 = 9, W.V₁ = -126, w · V₂ = -655, w · V3 = 27, then w = V₁ + V₂+ V3.
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 = 42, V₂ · V₂ = 131, V3 · V3 = 9, W.V₁ = -126, w · V₂ = -655, w · V3 = 27, then 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,...
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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
V₁ • V₁ = 42, V₂ · V₂ = 131, V3 · V3 = 9,
W.V₁ = -126, w · V₂ = -655, w · V3 = 27,
then w =
V₁ +
V₂+
V3.
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