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 = 35, v₂ · V2 = 334, V3 V3 . . w.v₁ = -105, w. v₂ then w = ·=·0₁ + 0₂ + V3. = 16, 2338, w V3 = 48,
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 = 35, v₂ · V2 = 334, V3 V3 . . w.v₁ = -105, w. v₂ then w = ·=·0₁ + 0₂ + V3. = 16, 2338, w V3 = 48,
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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
V₁ V₁ = 35, v₂ · V2 = 334, V3 V3
.
.
=
16,
w.v₁ = -105, w. v2
- 2338, w - V3
then w =
=v₁+0₂ + v3.
: 48,
=
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