P1 . Nap Isao rownauie ptaseogeuy pneokoekecg'

pores paukty :

B (t, -2,1) , Pz (2,437 , Ps (4,11 ) p

2

¥¥÷%::S,.

Pa

x°

pianist 's! ftp.aol.it:3/tEl:3t.→

A B C

= - G i t 3I = f- 6, 0,3)

- G (x - t ) t 3 (z - 1) = O

-6×+371-3=0-P⑦ Pokaaiai

,ie jeielipteszoyzaa ITpnedodri

pros try aierchotki trojlgta o wgieryduydPi (Xi ,yiRi) ,

i- 12,3 ,to Iq

. rianauic

modeuyzapisaiwpost.ci:

\xx- Xp y - ye 2 -2,

x:'

a:3: foPTP?= (Xz - Xy , yz -ye, 22-27 )PTP,= (Xz -Xy , y, -y,Rs - 2

Pip= (Xz - Xy , yz -yr, 22-21 )PTP,= (Xz -Xy , y, -y,Rs -Zi )→ → →

Pixar, =) x. gig. %.

AK - try, -yea - ay

) IB-

→

= ily;:3:3:3. ) -El"- " " z.

+ I>

/ Xz - ×, ya - y?

×' - xrzs-z.ltorozaiuipcie Laplace ie

X, - X, yes -y,/ = WYEdean piercing ,¢ Wiersma

.

Shed Ifx- x, )tL3Cg -y,) tfk-2,7=0

Stedman 1×-4 y - ye e-z.Xz - Xi Ye

-

yr Rz-27×3- Xi Ys - y, z, -z,

1=0P3

. Napisai riwneaie Ineiparametryczneptaszcyduypnechoekeg.propanickypPe (1,41) , Pz C- 1,011) , B (5, 6,71 2

7I PTBz= f- 2, -1,0)PTP, = (4,5, 67 µF

3

m→= pipa x PTI,= Pa

- his Elitists't::#Hit.→

= - Git 12J?- GI = C- 6,12, -6)

in= C- 6,12, - G) MT = ( t, -2,1)

i. c-⇒-

Pe Cl, 1,1 )

Riananic normalise piaszcyug :1. (X- 1) - 2cg - 1) t (2-1)=0

1×-4+2=0-1-

I Riarauie paranetycne ? pipe f- 2, -1,0)RPT = (4,5, 6)

IT: Hey, z) - (1,1, 1) t tf- 2, -1,0) t SCS, 5,6)

x = 1 - 2 t t 4S

& - t.IE,t.se R

P4. Napisai riwnauiepeaszcrgeuy doing

'

w postai

parameter omg.

×= pts - t

& Istep

w postaeinormaheej Cogotnej)(Xcy, 2) = (1,2,3)t s (1, -1,2) tt (- 1,2, t)

⇒ I limit:#Et:*- 57

- If+ I = C- 5, -3,1)

NT = (- 5,

-3,1) Pe = (1,2, 3 )-

T : - 5 (x-t) - 3cg -2) tz - 3=0

I-5x-3ytzt8-OTP5.DKjahick parametric me i k ptaszocgeuyGX - 3g t Gkz -8=0 1

.

Oras Lux ty- 42+4=0 2

.

se riunolegie ?

MT= ( 4, -3,6k ) II = (2in , 1, -4)

stealfew =

-⇒ = ⇒ m= - Es

k = ¥ - 2 {Y I }PI

.

(egzaucin popracohocy 2017)i

Napisai riameuieparremetrycmepeeszoyuy ITriwnoleyg

. do pT. o ro.

wnauia :

2x-y t 42+7=0

i pnechodneoj purer puuht P= (3,2, -2)n→= (2, -1, 4)

Znajduieuy dwa donohue wine wehtory If itsprojtopealte do M→

. Nied to legdue

rig = (1,2 , o ) Fa = (O, 4,1)

T: Hey, z ) =P t t - JI + sit

vj = (1,2 , o ) II - (O, 4,1)P = ( 3,2, -2 )

X =3 t t

{I III 's tier .

Pt. Prost w postal laawgekiowg '

Xt 3g - 2+6=0{2x try +22 =o

zapisai w postoui paremetryczug- i keaoui.mg :

niece,s.- n , A

m→z = (2, 3,2 ) ¥5mini. I til:-# it:*.

= 9T- 45- 315--19,-4,-3)

Xt 3g - 2+6=0{2x try +22 = o

Nied y '=o {*If#If "2

{If {Et 12 +

- 3-2+6--0

4 x = - 12 ⇒ x=-3

P (- 3,0, 3) EL .

{2=3Rianamie f¥ push : Ecg

,-4,-3)

X = - 3+9 t§ : : ist ter .

Rianauie Kamuione frosty Xtg3- = If = I}-

PI. wierechotkiostroseupamajeuashepujeaugsoeqdne.PH

, 2, -17 , Q (41,2) , Rft, -1,3)i s (t, -1,2) . Oldicrgiwysokosi Agoostrostcepa opuszcrory 2 pullet S.

n÷÷i÷÷÷i÷:¥¥= it -531 I HEHE:L-

→

= 5i - loj?- 5T = (5, -1055) p (42, -17

-51×-1 ) - 10cg - 2) - 5/2+17=0b-X- log - 52+10=0

I. (1, -2,17X - 2g - 2+2=0 SCI, -1,2) .

11.1 - 2.C- e ) - 1.21-21he

#-2+4'

= Zr -ED

WEER NA ODLEGGOSE'

PUNKTO

OD PRO STET A

\ !÷: is:* .Po - ElAT5x BIT

BIT = tore talk to istuigd

Po = / BIT . d.I ←

tou

P - I IATBxt.ie/=lBTF/.d.I#AFxtf.ci/=t/o/u-/.d.E/stedJd=lABaIYJI