Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V1, V2, V3) such that v1v1 = 27, V2 V2 = 54, V3 V3 = 16, . . w.v₁ = -27, w v2 = 378, w V3: then w=₁+₂+ V3. = = 32,

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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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 R5. Let w be a vector in Span(V1, V2, V3) such that
V1V1= 27, V2 V2 = 54, V3 V3 = 16,
.
.
w.v₁ = -27, w v2 = 378, w V3:
₁+₂+
V3.
then w
=
= 32,
=
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 V1V1= 27, V2 V2 = 54, V3 V3 = 16, . . w.v₁ = -27, w v2 = 378, w V3: ₁+₂+ V3. then w = = 32, =
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