▶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 = 54, V₂ · V₂ = 11.25, V3 - V3 = 9, . w-v₁-162, w v₂ = 78.75, 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 = 54, V₂ · V₂ = 11.25, V3 - V3 = 9, . w-v₁-162, w v₂ = 78.75, w - V3 = -27, = then 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 R5. Let w be a vector in Span(V₁, V₂, v3) such that
V₁V₁= 54, V₂
V₂ = 11.25, V3 - V3 = 9,
w. v₂
78.75, w. v3
v₁ +
w.v₁-162,
then w =
.
=
=
-27,
V2+
V3.
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