Suppose V₁, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(V1, V2, V3) such that 01•01= = 9, V₂ · V₂ = 17, V3 · V3 = 4, W.V1 = 45, w v₂ = -34, w · v3 = −12, 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
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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
•
V1.
• V1 =
V₂
=
17, V3 V3 = 4,
= 9, V₂ ·
W. v₁ = 45, w v₂ = -
-34, w • V3 = -12,
then w =
v₁+
V2+
V3.
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 • V1. • V1 = V₂ = 17, V3 V3 = 4, = 9, V₂ · W. v₁ = 45, w v₂ = - -34, w • V3 = -12, then w = v₁+ V2+ V3.
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