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- ~~c~t~~~ ·: € 1 t :::. '1 Li I '50 0 Yo t+s

e,r = 58 Soo Vo )ts

,e1-t - 4 70 /SO Vo t+s

1 C 2 t = - ~ 7 o 1 5o Yo I +.s

1/0 -

( P4)

(PS)

( P6)

(P7)

(P8)

(P9)

( Plo)

(PII)

( f12.)

(?13)

( p I t.1)

(PIS)

(PI(.)

--

-...LJr --

to

~/\<L A . v-o..

X ~

470 750

1i 70 l 50

130

c r 16)

A. x c~ l' t ~ ~~.:h

IJ

I~ l..vrX 1 , .-. • r~

vo l+s

Yo l+s

Aml~s

B

t'TV. ~\.. ~

vect; . ~..

,.~. t:' e. .... ( . ·.; I'~=· c_ '-

II I

. 1 12..

In ~ ~~_,.~ ~ ~ 4-wo Grn~ct~'\.:... ~ 4 <1)'\L

4 ( (").(r ~C'"'>'"\~ - . ~t ~a,.~· t..c:... a...o ~ ~ -e~ ~~

CI.J',A.. c~j"~"''-C\..."'"t ) ') ~ ~c:... eji.M\..t..:.)•.....:.... -~c~ ••

e, = Z>ll ...t, + ~12. 12 I -:::.. - i 1 -r il2 -z. ~2 €2.

!~ c2 1

?;,~::. ~2.1 '

I·

'B~

}II -:::1\.,)-LI\ ) ~ 12. =

v I

e, -

fk 1 .1 .'"' r 'L ·. ~ t . eo.v~- oYU- J~t::.l. ~-)~, v-... ~t c.r .~, ,._ . .:_.. .

__ --+_.. e,

_. '. ;>,--: . . ,.... .. .,. .. -. " . . ...

~I\ .

~12. .

. ...LI + "'-2 . . e2 = ~ 1 2. .t, + a22 A.z

~ ~~ "'-t ~ ~ .

~C..L 0~

e_~= V . .

)..2.. = 0

\ 13 -e, - ~II ..t, - v •• -

• v • J..,:. •• ~II

• e2 = ~12. ...c, - ~12. v • • -~II

e2. ~1'2.. (~n~ ~ ~) -e, ~~~

~.,

-elf - ~ .. ..llf

e,r - ~II ...l,r . . . .t,t - ..... ,f - ..lar

e,t - e,+ -+ Qlr -. I e2. t - 0 ' -

e,t - ~~~ ""-It + ~l'l. ,;::2.. t

.e 2. t '2;12. ~2.2.. .

= J..rt. + J..2..t

• o.

I

•

• • •

• .. .

• .. .

ia.J

. . ·: _.............. . ···.·· ,. ' ..

7.. a I\ ~~ l. - ~ I 'l. .

~24

~tr )

~II ..lit

e,~

~I)

~II l'tr

€,t ' J.,r 1:,, e,F- + ~II j,r

e,~ -2J II

..ttt =

•

;

i I I i

. ! ' I

Exal'?\rle 3

__...eJ+ '}., ~~~ +e•f ~2.2. j~.~ J

,.-· . ....-: .... . ~

Give,., e'? = v ~d e2f -::. 0

i, F -

Also

e,f +

-:;, ,, ...: If + a 12. .i~t-.

~ ll. ...L 1 f -t- ~ :2. z. ..t 2f

~ ~~~ o,,_-~2.'2.

elr - et/ -

v

0~+ e2r = et et ~II

. - .At .

..t't - -"..lf - - J..'1r + i. 2f - .(.z.r

€1 r : ~ II ..t' I r + ~12. i 2 r

e.l r : ~ 1 4. . ..(I r 4- - a 2 2 _.( 2... r

- v - 0

n5 -

....... .,....:· ..

.~o,, ~~~ ~ ~ ~ •. v-. .Jt-4.. ( C,r). et, C'~r, it, .i,r>..t~ '2.r) •0

.Solv"- b1

. . . ... : ...

,.

• :·· •• -;:, . ".!.

II~

j Exa~ f\~ L,

i f~ae. (I o5)

A rrr-o xl ma.+e t'll~.otlt~-v~\c c.;1 Ex."-1'7\f1e. bd One. ve..lcc;ht wo.."e~.

i j

I ! .

j .

l l

I I

I ! i . '

I

i I f

use.

Now

':( -tr,, -

~12 =

1~11 -t ~"' ~

I~ I 2 -+ :l~ 1 :l.

2.

lo~ --+.....:')lo-. ~-· ~I I 'S 7 7 ~ ~

----------------------------------------- Gnd· I ~: 55o_n l '2 ' (j ··'- a, "2.-=- 2 ~:)2 . ...n.. a (c,~. 2

~h~'::. 517 ~ I .. --. '. • • • ~J .,,...··.:. • . ... .

x. Fo,.,..,..t..ll"-tl Of"' beccmeS • •

e,~ 1 ob . - - sso "Jf -e,r - SS'o ,).: \Y' -. .x ,t - .Air )-It -e,t = e,;: + e,r

e2.t - 0 -e,t - '571 ...... , t -t ·2t; 2 .;.'2t

e.2.t i.0"?-- A1-t; S77 . - + .A:L t -

...