Page 192 - Math Grade 12 (Advance)
P. 192
PROEUS DARA
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• ~f.'l'tflS'liSl~ L 1Hi5Utum94s~1cr9~ t = (a, b, c) &tflli5Fn~m·t:H~ruw
"' u 1 1
P(x , y , z ) tSl Ht!i1mttiu1ft1nlsu~n (L) ~
0
0
0
X = x 0 +at , y = Yo+ bt , Z = Zo + ct ~ 1: : ::: :: t E R
z = z 0 + ct
.. tTI a, b S~ c ~turltuSHSlHife~ffi!RitS'liSl~ L ... = z- z0 '1
s
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~ : x- x0 = y- Yo
1 uti -r "' a c
Wf1T1titftl: H1tu~Fn~fh'htitn s~ tu~mwds'liSl~ L
u ~ "'
c1, -2, 4) tUiruLtum94s~1cr9~ t = c2, 4, -4) '1
orgm : t~-ej~ntu~m~fh'htitnts'li~~ L trutu19~~uttrus x = 1 , Yo = -2
0
X = I + 2t ' y = - 2 + 4t l z = 4- 4t ( 1)
2
~t:iltmhn~ t rl (I) tf.'lQlStu~Fn~m: x-l = Y+ = z-4 '1
~ 2 4 -4
WfJT1titft2: ~nn5~Fn~fh'htitnt215Sl~&f:lrnm~m-ecrrulu A(-2, I, 0) s~
U .:; I
B(I, 3, 5) '1
orgm: ~t:ilti5'li~~Fn~·m"e A(-2, I, 0) Stl B(l, 3, 5) t~m1uG~Lfiltl'9tutS
'liSl~tf:lrnm~m-e A s~ B ~ t = AB = (1-(-2), 3-1,5-0) = (3, 2, 5)
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t:::iJ t::J1 tl tl C) II dt
t'Ul rntu-em~mm-enf.'l x = -2 + 3t , y = I+ 2t , z = 5t '1
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~
7
7
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"" ... 7
n. A(O, 0, 0) Sw u = (1, 2, 3) ~. B(-2, o, 3) s~ u = 2i+4j-2k
f.'l. C(I, o, I) s~'liSl~tf:lrn'tflstu'i§m~ x = 3t+3 , y = -2t+5 , z = t-7 '1
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187