Problem #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1, 2, -1), v₂ = (-2,2,3,2) V3 = (1, 2, 0,-1), v4 = (1, 0, 0, 1) Let w = (. 7. .-5). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.
Problem #3: The following vectors form an orthogonal basis for Rª. V₁ = (1,-1, 2, -1), v₂ = (-2,2,3,2) V3 = (1, 2, 0,-1), v4 = (1, 0, 0, 1) Let w = (. 7. .-5). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 12E
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![Problem #3: The following vectors form an orthogonal basis for Rª.
V₁ = (1,-1, 2, -1), v₂ = (-2,2,3,2)
V3 = (1, 2, 0,-1), v4 = (1, 0, 0, 1)
Let w =
(. 7. .-5). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3cb378ba-be87-4838-bd31-84fa6b2aaf1f%2Fb4c45e1b-7e96-42c4-8a47-eb2256f4dc3d%2Futas7hq_processed.png&w=3840&q=75)
Transcribed Image Text:Problem #3: The following vectors form an orthogonal basis for Rª.
V₁ = (1,-1, 2, -1), v₂ = (-2,2,3,2)
V3 = (1, 2, 0,-1), v4 = (1, 0, 0, 1)
Let w =
(. 7. .-5). Find the value of c if w = av₁ + bv₂ + cv3 + dv4.
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