A) LetX=(4.2,5-8) y=(-2,3,-ソ-)っZ(-2リ3)W=(,0,0,2), Answeer the followinsO whic of the Vectorsonthognal, ParallelarCom Putetheunit vector of X, WBLet X= i - 2j+3KX x Yゾ-i+3j+KCom Pule® the angle between X and yFor anytwo vector s Xand Yshow thatX and Yare Parallel iF X xy =0wel(a,b,c),b=3a} is Sub Sehoof RPa Sub Spacef RS2O Let%3DX, - i +2j - K, Xz=-3i+2j-RX4 = 2i@ show thatX3 = -3 i + 2J -Kare linearly indeendentQq Solvz The Rellowing equetions+ Iny) dx + (Xq3 )dy =oのrde t(20_y?)d =0

Answered: Image /qna-images/answer/a512177d-e0fc-46f8-b560-56503767e838.jpg

Q3 O Let w-l(a,b,c), b= 3a} is Sub Sehoof RE a Sub Spaceef R32 is s w X, = i +2j - K , Xz= -3i+2j-R X3 = -3 i + 2j - K Show that X4 = 2i %3D %3D are linearly indeendent Q q Solve The following equelions Oe + Iny) dx + (X)dy=c の rde +(20-マ?)d (20-r?)d on

Q3 O Let w-l(a,b,c), b= 3a} is Sub Sehoof RE a Sub Spaceef R32 is s w X, = i +2j - K , Xz= -3i+2j-R X3 = -3 i + 2j - K Show that X4 = 2i %3D %3D are linearly indeendent Q q Solve The following equelions Oe + Iny) dx + (X)dy=c の rde +(20-マ?)d (20-r?)d on

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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Question

100%

A) Let
X=(4.2,5-8) y=(-2,3,-ソ-)っZ(-2リ3)
W=(,0,0,2), Answeer the followins
O whic of the Vectors
onthognal, Parallel
ar
Com Pute
the
unit vector of X, W
BLet X= i - 2j+3K
X x Y
ゾ-i+3j+K
Com Pule
® the angle between X and y
For any
two vector s Xand Y
show that
X and Y
are Parallel iF X xy =0
wel(a,b,c),b=3a} is Sub Sehoof RP
a Sub Spacef RS2
O Let
%3D
X, - i +2j - K, Xz=-3i+2j-R
X4 = 2i
@ show that
X3 = -3 i + 2J -K
are linearly indeendent
Qq Solvz The Rellowing equetions
+ Iny) dx + (Xq3 )dy =o
のrde t(20_y?)d =0

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