For which real values of A do the following vectors form a linearly dependent set in R³? V1 = v2 = V3 X₁ = = 1 3 1 3 2 3 (-1/3₁ ^ , - / -) 3 (3, 1) A₂ = =

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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For which real values of A do the following vectors form a linearly
dependent set in R³?
V₁ = 1₂
V2=
V3
X₁
=
1
3' 3
1
(-₁^,-)
=
1
3
2
3
- 1/3,^)
A₂ =
Transcribed Image Text:For which real values of A do the following vectors form a linearly dependent set in R³? V₁ = 1₂ V2= V3 X₁ = 1 3' 3 1 (-₁^,-) = 1 3 2 3 - 1/3,^) A₂ =
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