Determine whether the given vectors u and v are linearly dependent or linearly independent. V= u= ---- 5 0 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. OA. The vectors are linearly independent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. OB. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a = (Type integers or fractions.) C. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a = (Type integers or fractions.) OD. The vectors are linearly dependent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. and b = and b =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.4: The Dot Product
Problem 46E
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Question
Determine whether the given vectors u and v are linearly dependent or linearly independent.
4
----
5
0
Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The vectors are linearly independent because v is a scalar multiple of u, specifically v =
(Type an integer or a fraction.)
u.
B. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a =
(Type integers or fractions.)
C. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a =
(Type integers or fractions.)
D. The vectors are linearly dependent because v is a scalar multiple of u, specifically v =
(Type an integer or a fraction.)
u.
and b =
and b =
Transcribed Image Text:Determine whether the given vectors u and v are linearly dependent or linearly independent. 4 ---- 5 0 Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The vectors are linearly independent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. B. The vectors are linearly independent because the only solution to the vector equation au + bv = 0 is a = (Type integers or fractions.) C. The vectors are linearly dependent because the only solution to the vector equation au + bv = 0 is a = (Type integers or fractions.) D. The vectors are linearly dependent because v is a scalar multiple of u, specifically v = (Type an integer or a fraction.) u. and b = and b =
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