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Vector Differentiation & Integration Lecture Notes

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=co
os
Vll 1
=
I|ll.
1
uv
catis
i
Sele Actolition :
Subtheetion
Multinli
ProcluetiDot 9
ti
whik
=
1i
A
hegitale
tz,k
be
clieetibn.
belie
entity
z)
Vecto
Sco le
t06+o)
(05+06
MoclnleNo.06.
Page Mo
Coss-Rodt:
attz
(6 Unit Veetor :
ul= (| ull =1
1
|a-vl
*Stele
= Jk
Triple Poclet
4
Fined:
1) u +V
Box Boclect:
V-D= 8?+ 2 t 7k
A.v = -21) +4-3 = -20
3 2
il8)-fl2) +kleo)
-11
3
I7l=44 +4+9 = JG
62
Scaleu Fineti'o
fll= 4
fl11,1
Vecto huitio
flt)=tt2t;
=3
flty)
ol
F-fitfeË +f:k
Vebo fue tio
Ftl=4'?t2tft (t'+1)
-=tft2f +3tk
(7.s) = Vector
flaye)
+nealin
Flay
*Solenoislal
b isottioal
be
vecto
fmcti
liw ( )= =0
tHenE
lalle
Solenoilel ficl.
inattoal fiele
F= Iy'-z t3y22a}î t(3azt
Shos tat:
E i
Syz-2x) t
(3R2+2t
2+2421 t 2.
.F
so lenoilad 'fell.
-242 +2z
-24
-2
-fl3r3oc)f(3y-22-(-22+3y))+
R3k+2 -yFs))
VXF= 0f -of t ok
June 24
1
(1,0,-2)
Consiclete wector fell F oh R'
9FRyz)=(
Shos tat
Fis
Solrtioni
oir (F) ) z t2
V.F= 2%2
notetio ae
-2y'z) t
V.F(Éo,)
-l-2)-6lo) 2)9
2l1\to
4
-
3.
DAF =(2ay2tby'z)? -y'
0f-(o-1)}
92
(o,o)
’oly clue
1-0
1
(9Alot
2
4
o
+2
4
4
Gosblaie
Labe it
Ct'
C,
l(o, o)
1
20
heore
C
F=Tlay) f t &(2,)f
C
bouelel
99
, 1)
-=0
l2-1) =0
1
Ioo)
Not
age No
Date
(1,11
(o b)
M1
1
20
OR
(1,1)
M-2
2
Lohee F =(art'}f +27
ks)
Alo, 2)
Cl42)
thio,
(2,0)
4-2
*-2
C
P=
Bl2.01,
Tete t
2-2
3
3
tteoena to ealnate
E.l =
y=
(0,2-)
Tor Ce
2
cle
(2,0)
-
(2-2)(-d)
C
L.oli
4
tScele
Potetiolal'ork olae
)is
-f1
-f
Seiel to
+
cl
2 cs lonet
ltet
Louel
Worle Dae =F. dz
C
z).
(any)
Shas at:
this fielut fa lo,t,-1 to (Vh
+(sazt+2)
leysia-4jA
+
t2)f
(teas
92
ga2t2
-1
90
+
ln t
92
[heat
Les free
fom
Wovle Doe
= 4+4n-6)
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