Let H=span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is a line, plane, or R3. Select an Answer v1.-33-12U1 =-1,U2 =, U3 =1,V4 =-43-312Select an Answer v2.1-715U1 =1U2 =-7,U3 =16,V4 =-1-12-3Select an Answer3.131113,V2 =9.,U3 =3,V4 =33-1-2-7

The span of one vector is a line. The span of two llinearly independent vectors is plane. The span…

Select an Answer 1. -3 3 -12 -1 ,U2 = ,V3 = 1 ,V4 = -4 3 -3 12 Select an Answer 2. 1 -7 15 1 ,U2 = -7 Uz = 16 ,V4 = 2 -1 -12 -3 Select an Answer 3. 1 3 1 11 U1 = 3 ,U2 = 9. ,U3 = 3 ,V4 = 33 -1 -2 -7 LO

Select an Answer 1. -3 3 -12 -1 ,U2 = ,V3 = 1 ,V4 = -4 3 -3 12 Select an Answer 2. 1 -7 15 1 ,U2 = -7 Uz = 16 ,V4 = 2 -1 -12 -3 Select an Answer 3. 1 3 1 11 U1 = 3 ,U2 = 9. ,U3 = 3 ,V4 = 33 -1 -2 -7 LO

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.5: The Binomial Theorem

Problem 17E

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Question

Let H=span{v1,v2,v3,v4}. For each of the following sets of vectors determine whether H is a line, plane, or R3.

Select an Answer v
1.
-3
3
-12
U1 =
-1
,U2 =
, U3 =
1
,V4 =
-4
3
-3
12
Select an Answer v
2.
1
-7
15
U1 =
1
U2 =
-7
,U3 =
16
,V4 =
-1
-12
-3
Select an Answer
3.
1
3
1
11
3
,V2 =
9.
,U3 =
3
,V4 =
33
-1
-2
-7

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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