The figure shows a rectangular box in three- dimensional space that contains several vectors. (The vector c is in the xz-plane, and the vector e is in the xy- plane.) Are the following statements true or false? False ✓ 1. à = d False 2. a = -b ā Toj 22 (Click on graph to enlarge) f

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.2: Vector Spaces
Problem 38E: Determine whether the set R2 with the operations (x1,y1)+(x2,y2)=(x1x2,y1y2) and c(x1,y1)=(cx1,cy1)...
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Are the
following
statements
true or
false?
False ✓
1. a = d
False ✓
2. á
=
True
-b
3.
è = à - b
False
4. c = f
False
5.
ģ= ƒ + ā
False ✓
6.
d=ġ - ć
Transcribed Image Text:Are the following statements true or false? False ✓ 1. a = d False ✓ 2. á = True -b 3. è = à - b False 4. c = f False 5. ģ= ƒ + ā False ✓ 6. d=ġ - ć
The figure
shows a
rectangular
box in
three-
dimensional
space that
contains
several
vectors.
(The vector
c is in the
xz-plane,
and the
vector e is
in the xy-
plane.)
Are the
following
statements
true or
false?
False ✓
1. à = d
False
2. a = -b
ā
toj
22
(Click on graph to enlarge)
f
Transcribed Image Text:The figure shows a rectangular box in three- dimensional space that contains several vectors. (The vector c is in the xz-plane, and the vector e is in the xy- plane.) Are the following statements true or false? False ✓ 1. à = d False 2. a = -b ā toj 22 (Click on graph to enlarge) f
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