Suppose V1, V2, V3 is an orthogonal set of vectors in R5. Let w be a vector in Span(v1, v2, V3) such that VI. V1 = 38, v2 V2 = 162, v3 v3 = 36, w. v1 = 114, wv2 = -324, w. v3 = -108, then w = 3 V1+ -2 V2+ -3 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 VI. V1 = 38, v2 V2 = 162, v3 v3 = 36, w. v1 = 114, wv2 = -324, w. v3 = -108, then w = 3 V1+ -2 V2+ -3 V3.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 36E
Related questions
Question
![wwwwww 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 = 3
V1+ -2
V2+ -3
V3.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35bc7cfb-e38c-45d6-8cb2-8c987ddfb016%2F3256425e-d5fc-42ed-9fa0-de2235958b30%2Fveiacga_processed.jpeg&w=3840&q=75)
Transcribed Image Text:wwwwww 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 = 3
V1+ -2
V2+ -3
V3.
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