Let L be the line in R3 that consists of all scalar multiples of the vector 1 Find the reflection of the vector v = in the line L. 8 14/3 Refl (v) = 7/3 14/3

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Let L be the line in R3 that consists of all scalar multiples of the vector
1
Find the reflection of the vector v =
1
in the line L.
14/3
Refl (v) =
7/3
14/3
WARNI
W
CL
W
AY 7:36
II
F8
F9
F10
O F4
F7
F5
F6
&
9
Transcribed Image Text:Let L be the line in R3 that consists of all scalar multiples of the vector 1 Find the reflection of the vector v = 1 in the line L. 14/3 Refl (v) = 7/3 14/3 WARNI W CL W AY 7:36 II F8 F9 F10 O F4 F7 F5 F6 & 9
Which of the following transformations are linear?
Yı=x3
A.
Y2=13
Y3=x1
Yı=8x2
O B.
Y2=-6x3
Y3=-3x1
Y1=-9x1
Y2=7x1
Y3=6x1
С.
Y1=x1 + 5
D.
Y2=x2
Y1=0
E.
Y2=X1X2
Y1=4x1+ x2
O F.
42=-x1
Transcribed Image Text:Which of the following transformations are linear? Yı=x3 A. Y2=13 Y3=x1 Yı=8x2 O B. Y2=-6x3 Y3=-3x1 Y1=-9x1 Y2=7x1 Y3=6x1 С. Y1=x1 + 5 D. Y2=x2 Y1=0 E. Y2=X1X2 Y1=4x1+ x2 O F. 42=-x1
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