Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V₁, V2, V3 ) such that ²1 · V₁ = 35, V₂ • V₂ = 154, V3 • V3 = 1, v · v₁ = 175, w · V₂ = 616, w · v3 = −2, hen 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 ²1 · V₁ = 35, V₂ • V₂ = 154, V3 • V3 = 1, v · v₁ = 175, w · V₂ = 616, w · v3 = −2, hen w = V₁+ V2+ V3.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
9
V₁ • V₁ = 35, V₂ V2 = 154, V3 · V3 = 1,
·
W • V₁ = 175, w v₂ = 616, w V3 = -2,
•
then w =
V₁+
V2+
V3.
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