For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables u, v, and w. a) u = 2 -2 = -4 4 5 W = -5 -3-9-8 < Select an answer > 2 4 6 b) u = 1 V = -2 W = 8 4 -7 < Select an answer >

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 13E
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For each of the following sets of vectors, determine whether it is linearly independent
or linearly dependent. If it is dependent, give a non-trivial linear combination of the
vectors yielding the zero vector. Give your combination as an expression using u, v,
and w for the vector variables u, v, and w.
a) u =
2
-2 =
-4
4
5 W = -5
-3-9-8
< Select an answer >
2
4
6
b) u =
1
V =
-2
W =
8
4
-7
< Select an answer >
Transcribed Image Text:For each of the following sets of vectors, determine whether it is linearly independent or linearly dependent. If it is dependent, give a non-trivial linear combination of the vectors yielding the zero vector. Give your combination as an expression using u, v, and w for the vector variables u, v, and w. a) u = 2 -2 = -4 4 5 W = -5 -3-9-8 < Select an answer > 2 4 6 b) u = 1 V = -2 W = 8 4 -7 < Select an answer >
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