Suppose v1, v2, v3 is an orthogonal set of vectors in R°. Let w be a vector in Span(v1, v2, v3) such thatv1 v1 = 24, v2 v2 = 11, v3 • v3 =120, w - v2 = 77, w- v3 = 50,25,w. v1 =then w =v3-

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Answered: Suppose v1, v2, v3 is an orthogonal set…

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 = 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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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 = 42, V₂ · V₂ = 542, V3 V3 = 36, -126, w - V₂ - 2710, w - V3 w. • V₁ then w= v₁+ = = = -36, V2+ V3.
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Suppose v1, v2, v3 is an orthogonal set of vectors in R°. Let w be a vector in Span(v1, v2, v3) such that vi v1 = 24, v2 v2 = 11, v3 • v3 = 120, w - v2 = 77, w- v3 = 50, 25, w. V1= then w = v3-