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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 45, V₂ V2 = V₁ V₁ = 40.25, V3 V3 = 36, w • v₁ = −225, w · v₂ = −80.5, w · V3 = 144, 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 45, V₂ V2 = V₁ V₁ = 40.25, V3 V3 = 36, w • v₁ = −225, w · v₂ = −80.5, w · V3 = 144, then w = V₁+ V₂+ V3.

Advanced Engineering Mathematics
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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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 = 45, v₂ · V₂ = 40.25, V3 V3 = 36, • V3 = 144, W. v₁ = -225, w v₂ = -80.5, w. . 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 = 45, v₂ · V₂ = 40.25, V3 V3 = 36, • V3 = 144, W. v₁ = -225, w v₂ = -80.5, w. . then w = V₁+ V2+ V3.
Find the missing coordinates such that the three vectors form an orthonormal basis for R³ : 0.8 -0.6 -1 0.8
Transcribed Image Text:Find the missing coordinates such that the three vectors form an orthonormal basis for R³ : 0.8 -0.6 -1 0.8
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