Write v as the sum of two vectors, one in Span {u₁) and one in Span (u₂,43,44). Assume that {u,₁,...,4} is an orthogonal basis for Rª. 2 2 2 1 5 2 2 4 -2 2 2 -2 2 2 U₁ = U₂ = -1 -2 2 43 = -1 - 2 U4 = V= V (Type an integer or simplified fraction for each matrix element.)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 11E
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Write v as the sum of two vectors, one in Span {₁} and one in Span (u₂,U3,44}. Assume that {₁,...,4} is an orthogonal basis for Rª.
2
2
2
5
- 2
- 1
4
H
2
- 2
-2
2
- 1
2
2
u₂
u3 =
2
- 1
-2
V =
(Type an integer or simplified fraction for each matrix element.)
Transcribed Image Text:Write v as the sum of two vectors, one in Span {₁} and one in Span (u₂,U3,44}. Assume that {₁,...,4} is an orthogonal basis for Rª. 2 2 2 5 - 2 - 1 4 H 2 - 2 -2 2 - 1 2 2 u₂ u3 = 2 - 1 -2 V = (Type an integer or simplified fraction for each matrix element.)
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