6 Suppose v1, v2, v3 İs an orthogonal set of vectors in R. Let w be a vector in Span(v1, v2, v3) such thatv1 · Vi = 38, v2 · V2 = 13.25, v3 v3 = 36,w• v1 = -114, w v2=-66.25, w v3 = -108,then w =vịtv2+V3.

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

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.2: Vector Spaces

Problem 43E: Prove that in a given vector space V, the zero vector is unique.

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Suppose v1, v2, v3 İs an orthogonal set of vectors in R. Let w be a vector in Span(v1, v2, v3) such that v1 • Vi = 38, v2· V2 = 13.25, v3 v3 = 36, w · v1 = -114, w· v2=-66.25, w v3 = -108, then w = vịt V3.