Line Let H = span {u, v). For each of the following sets of vectors determine whether H is a line or a plane. 1. u= -5 -7 -8 Line 0 0 ,0 = 0 u = 2 -1 4 Plane -5 55 u = 4 Line 2. 62 -2 10 3. -10 8 ,0 = 7 4.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Line
Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane.
1.
-7
57
-5
0
u
,0 =
-8
0
Line
2.
2
-1
-2
62
u =
,0 =
4
10
10
Plane
3.
-5
-10
5
8
u =
,0 =
4
7
Line
u =
-3
2
,0 =
4.
42
-4
12
-8
Transcribed Image Text:Line Let H = span {u, v}. For each of the following sets of vectors determine whether H is a line or a plane. 1. -7 57 -5 0 u ,0 = -8 0 Line 2. 2 -1 -2 62 u = ,0 = 4 10 10 Plane 3. -5 -10 5 8 u = ,0 = 4 7 Line u = -3 2 ,0 = 4. 42 -4 12 -8
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