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Let u₁= 8 U₂ = -2 and u3 = 1 . Note that u, and u₂ are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in 0 R³ that is orthogonal to u₁ and u₂. The nonzero vector v = is orthogonal to u₁ and u₂. C

Let u₁= 8 U₂ = -2 and u3 = 1 . Note that u, and u₂ are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in 0 R³ that is orthogonal to u₁ and u₂. The nonzero vector v = is orthogonal to u₁ and u₂. C

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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LINEAR ALGEBRA
Let
u1=
  4  
8
−4
​,
u2=
  5  
−2
1
​,
and
u3=
  0  
1
0
.
Note that
u1
and
u2
are orthogonal. It can be shown that
u3
is not in the subspace W spanned by
u1
and
u2.
Use this to construct a nonzero vector
v
in
ℝ3
that is orthogonal to
u1
and
u2.
 
 
 

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Part 1
The nonzero vector
v=enter your response here
is orthogonal to
u1
and
u2.
 
5 -2 1 3 R³ that is orthogonal to u₁ Let et u₁ = 8, 4₂ = The nonzero vector v = and u3 and u₂. = 0 Note that u₁ and u2 are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in is orthogonal to U₁ and 4₂.
Transcribed Image Text:5 -2 1 3 R³ that is orthogonal to u₁ Let et u₁ = 8, 4₂ = The nonzero vector v = and u3 and u₂. = 0 Note that u₁ and u2 are orthogonal. It can be shown that u3 is not in the subspace W spanned by u₁ and u₂. Use this to construct a nonzero vector v in is orthogonal to U₁ and 4₂.
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