(es 7
neat Independence: Lec ii #40 @
ye eC ie (
(5) EV Sin
Ce yy fe 1
Ge ul deter fF
then Vv Gn be
rt ” ae (2 age BOY o) + 2lot- 3h +2af
i e Graclet (O° 2E# aus el mates On og
: } of 4 seit weaxts. Call Cb bee 076:
Ox fy. 4) ) be ¢ net vecl! on 6g-OXe.
= there bach he
QE trfotely m ey é
Vecler V Gn be Hiller wd ", oor Golixabion 4
¢.f @ We ‘
| (3:2) 2 1,9 a(o-t) 70 oe ager Br Ow
32) ¢ Avr
(38) = (dt (04) + JB (@4 £) Lyn Rede
Set
(2a= 449 +%od- oy af
7 elie F
(o4 ao “Ge &
The vecly & & bepeitles Cavie
expensed % ° Fes Covbenebon gy onolf
ve (hr bibl BOI Be fd
hes Means thal fle Vee ry Poul f J Gre
te Pinon number of yec YS ebaese Grex
Cmberabion &* predee “iY Gael le
V2 (uvede Vd dr valordie Wi ht vo}et pile paacert, gSct= Z ss fava, ov #
s “ aaa & be a lear inde ad Pee it eo
veces & Gan be (ES 8¢ - wal
of fia pig J el te " veel 44 0 foe eee
& bad & be near clepenshs A ' fr 4
Beovem « A novempy tek Se ov, led wis
vecks gece VG bnesty had as
only g the onl Cue Focioals abst Le vehi
Sua ben :
Kur Kava - + k=O
Ok Keg Hand,» =O
nearly, recy lnc oat. Mk he
Can 14, olen Os Ae pe Cin bin abon
= (00-79).
re (1.01040), A= 04,0, a0
anol 62.4)
how thal (10,0), B= (On
ave lneay inde penitent
ke + Ko€at KaG=P?
Kin age Ka lone Ks (-)= o
Ki, ke 2(0,09 |
Ket, [ave (3-0|
| the ebelop form of 4 Pyevios sys em é @
| f " 5 | J ere nm a pe & cath
og #\0 Column men be Chet,
Ge © |e veckis ae brent maeposle
Remath df eck Gl, ve 62 si tn
the Ce lon vecks Oe lines 4 inclepen len
Cee Chow thet the seb? 3, xx? aut 6
lest cnclypendent set wo &.
Cea fer Determine the ther Fer x, BagH,
pt iy ‘actpeackal di peak
Bea (rox a a lxesty
wo f.
sil KeDy ke for fo Be
Ki(y-x) + (S43
( kyy 5k2 +) + (ye Shae Sher C2
Gunpaveng Cetheenl
xe kip Shar =O WRF \- 4
Cy eae eo?) = -O
-15)xz 0
ne kyr Bat 579 oi Ys 3
oo - AR- K3-8 \ m G Cneppe-
thes (9 & re Mees nig S te Hehe (09
That bagye bo
Fos, Q, P, yiol 72 73 ave Cneoty aoepnclatExample as Dela mie be Ket te yeckst (9
ne “ S 2 2, ae oN) seas (278
(E 2
Sol. od onde oul of Laesty lepeaslont ca ee
Kyat kava plkovs= ©
Ki(4, a kals, & el) + Ko (3404) = Oo
Kreska + 48 =
hetb, Ia* et, kK
2k, +6k de® a a aie kKg= wh
Bk, — Ka + k3= kien Pete "Co seer,
veckss Ove Cnev¥ obpeaded
her
De biminond Me the Lad LL :
SF ah chon
a3f =O A fe fs wer, 0 fe fer veclors
3 -1 4 Qe bneaty lec
Remall df te bonne # “aft
nom 2, thon 1 ie _ a 2
nol the bol-bon G mi, Meee apn
té, the Colomn vedo: FE
Crew © euch pens 3
View Crean ape" (4,9,94-%, vee (AGS)
Ky 4k +5192 © ak; -4ka~ b=
Kaki B=9
are ka + 8K3-° f
2 Mee Wy ond
aK) + We +4570 ii 49 Gh Ss t oe ptees Fait bet thal Culatrs fof & bvew¥ @
a of with ont vec br ni aul
tab and only - a vecks 6 , Cort “ee d
ex cls 6b
od cat oe As A bCa bead ipl
other:
Sronplen, No Mt “a 4 fale A
ca % Sante Gs Vf
Me es. So, aie cele polbple 7
ane otter, Love Le he ded AG@ira lnecty * ralpcod
we 4G Smlzx) , Smale) @
G Be Case Gola Cl)
"he of mere 7 es a,
Sol Cl £ Slaxy~ 2 Sol) Blo)
—s Talo vec bt, & f rea Pied cat brew y
Trek me Son ey tie on ah at hol i:
alt gn« Otherwise Oe veld & inl ble 4
the oe? -
GS bnanty
6sRema Thee Veckos RP ate & w)
if ¥ they dub te 0 he fo Eaaiy lal
nb ab the , anger- Cftewse. ab
thes! geld
be © wold be lone? Gmbnabor of the oft
|
|
a iprs kay fe tn, BebiO-2 BeHe
Yeap: Bot Qve = F poeabell On he
(2/2), ten the "e fern monk 4 Culleol
te Lteaskion Of to Ben |
ibs 4) $0) ants oe |
Lule fata lad Bl |
Md 6h). Bl)
Z “ty a ae #0
She te, tx) Gate) 2 EOE
vec fers-
“a [i ane 1 Glo)- Slt)Theote «7 :
Me- pia the brinsktOn os nob shabeely a
on (--06 p26), ben he fone brows qr Osceely inclope
fo)
oo Exhres). @
Cel )= % Cale) Sint) 0S XE (Lorre).
Tes Hex andl Be Sot) ave Cneety ralepiachh.
ha, $< ae LZ
MXLample 7
Ge red),
Vec fers on
a) = 4 2 | Bale ge "FO vy 4a
Ox 4s
fine onensonall Pee If theve are fale nonber
of vec hx oV thee Spar V:
tn Lute smenctoaal spac cer If tere We hrile number
og vecly nV Ge Spoes uv
BaKMe. If S=FU,v2. 5 af & Q fel
vechn wt ite clnerstonel yecks Pee V,
te S 0 Celecl o besa hi
@ Span(S) =
(4) f & Cirearly inckpenclent
Dopession- TL -mmber f Chemntnk tn Q Baec
“ s Rs Re over R — |
Cpe (1101-1, Ce 2(Or,0r-- Dy» Ce @ 4)
A spen(S)= Rev, becaue “a
fred OV, Lee
rh Ve Werf Vaeet - + Vinton
oiecven the vecky’ are Cnet 7 hol,
eve fele, in 4e e fem & et
the vec. by Space V= CB? w
the Gaus we
Gace theyre Ove wr Ele le ta & on
Trnenseoo ( P7) = Ws
Ve PS Hoos Gof Dosen OD?
Y= & er - a 0,6), 61,0), (oof, Davcosce (P) = 3.
“Ef
1%, We us & basis fu te lS
_ Reina ¥ dé 2 of A
“at Ft) E Q ° then 4 are R err”
me QxRQxrG
[hes “§ wee 'R _
off.
Helot boeoll, the Ve obs oP S eed
Dyven ston (Th)= nel
mike laws elf.
Se
There ave (Nr) eleméenNeTE + The (Bases qe rt §9)
rch Unga. /deores
If @B and Pa ove bo Saux 7 were
Spite V, Kean By Ord B2 Con Cnles olffotend
Ted te bel vaber 7 chook o
R, B, ave AGme.
B, and (0a /4]e Crlaaty 7 =
/E&il= /P2! . ae y eleweadk i
fA,
Ae 5, Alea
Remake Suce tee olinen sion F
fhevepre , Ord O nleang tate? ln *
moles en oleate vecbic oo © whl fore @ oe
15. Soon (ono, (o0rf
Bos 4 (020), (2.9%) (3 24)
2 OF elie v2e (19 ¥5~ (00) 4
f peau eae
Lae
oO gre Cneel nvlypenchenl,
% Coe Colon & %, a: CGelown-
2°3
9
fi
F
1.0.4
Gince cbbmingat
veoks ove ” ly mn
l= 3, (Bl-8
= (0(36)- (8-3) 43(-)= 34- 40-93 --4
mon