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 = 38, v2 V2 = 162, v3 - V3 = 36, w. v₁ = 114, w v2 = -324, w v3 = -108, then w= VI+ 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 = 38, v2 V2 = 162, v3 - V3 = 36, w. v₁ = 114, w v2 = -324, w v3 = -108, then w= VI+ 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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![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 = 38, V2 V2 = 162, V3 · V3 =
·
= 36,
w. v1 = 114, w v2 = -324, w. v3 = -108,
then w =
Vi+
●
V2+
V3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F27394156-ae52-4a83-a086-1969b15b77d9%2F93bdc4b0-66ad-4207-8306-bbbfe0331a58%2Fbbejwhi_processed.jpeg&w=3840&q=75)
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 = 38, V2 V2 = 162, V3 · V3 =
·
= 36,
w. v1 = 114, w v2 = -324, w. v3 = -108,
then w =
Vi+
●
V2+
V3.
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