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 = 18, V2 V2 = 99, V3 V3 = 4, . . w V₁ =18, w . * then w = V2 = 693, w V₁+ . V3 = 12, V₂+ V3.

Algebra and Trigonometry (6th Edition)
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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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Suppose V₁, V2, V3 is an orthogonal set of vectors in RS. Let w be a vector in Span(V₁, V2, V3) such that
.
V2 = 99, V3 V3 = 4,
V₁V₁= 18, V2
w V₁ =18, w V₂ = 693, w V3 = 12,
then w =
V₁+
V₂+
V3.
Transcribed Image Text:Suppose V₁, V2, V3 is an orthogonal set of vectors in RS. Let w be a vector in Span(V₁, V2, V3) such that . V2 = 99, V3 V3 = 4, V₁V₁= 18, V2 w V₁ =18, w V₂ = 693, w V3 = 12, then w = V₁+ V₂+ V3.
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