Suppose ₁, 2, 3 is an orthogonal set of vectors in R³. Let w be a vector in Span(V₁, V2, V3) such that V₁ · V₁ = 30, V¹₂ · U₂ = 25.25, V3 V3 = 9, w • v₁ = −30, w · v₂ = -126.25, w - v3 = 9, then w= "+ V₂ + 13.
Suppose ₁, 2, 3 is an orthogonal set of vectors in R³. Let w be a vector in Span(V₁, V2, V3) such that V₁ · V₁ = 30, V¹₂ · U₂ = 25.25, V3 V3 = 9, w • v₁ = −30, w · v₂ = -126.25, w - v3 = 9, then w= "+ V₂ + 13.
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 11, ¹2, 13 is an orthogonal set of vectors in IRS. Let w be a vector in Span(v₁, U2, U3) such that
V₁ + V₁ = 30, V¹₂ V¹₂ = 25.25, V3 · V3 = 9,
w • v₁ = −30, w · v₂ = −126.25, w · V3 = 9,
then w=
v₁+
V₂ +
13.
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