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 206, v3 · V3 = 9, w · v₁ = −105, w · v₂ = 1442, w · v3 = 36, then w = v₁+ V2+ V3. ● =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 9E
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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
w v₁ = -105, w · v₂ = 1442, w ·
then w =
v₁+
●
V3.
●
=
206, v3 · V3 = 9,
V3 = 36,
V3
V2+
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 w v₁ = -105, w · v₂ = 1442, w · then w = v₁+ ● V3. ● = 206, v3 · V3 = 9, V3 = 36, V3 V2+
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