Page 193 - Math Grade 12 (Advance)

PROEUS DARA
1.2. ytigilrum

I
tf:i~!Jti (a) \jtl5 Stlthu-p:; P(x , y , z ) tS!JtiU::lg !:Ulru (a) ~ntlStl,GtJ~
0
0
0
h = (a, b, c) ~i:H15Ud~1G9HuS1 '1 1u9~ h tsg tUlim1n9nuuffinftsuti (a) '1
I I U t.J 1 1 GV
HiUOrulG Q(x, y, z) tsuci (a) t?JQIS ?Q Hamrunrustl h '1
L.:. 1 "" u u
o:;::
--7
"'
7
7
--7
<::V
CJ
t?iQIStHli?irulMI:rt5~tltl PQ Stl n R : n · PQ = 0 Sl~H?JQIS
1 n t.l
a(x-x )+b(y-y )+c(z-z ) = 0 tUlimMtfffitMdmtsuti (a) '1
0 0 0
1'1 ""
7 ' QJ l
n =(a, b, c) tEl'H!Jti&Slg'i:flS!U'i:1filH1JiHll a(x-x )+b(y-y )+c(z-z ) = 0 (I) '1
0 0 0
U:hrurJSlfi (1) t?JQIS ax+by+cz+d = 0 t:htu~i11~9t94tsutitS1g( ~l::lru
G\} u ""
d = -(ax + by + cz ) ) '1
0 0 0

stl cc-2, 1, 4) '1

---7
AB = (0-2, 4-1, 1-l) = (-2, 3, 0)
--7
AC = (-2-2, 1-1, 4-1) = (-4, 0, 3)
~ ,. ,.
---7--7 ijk,.,. 7
t?iQISABxAC= _ =9i+6j+12k
230
-4 0 3
~ --7 -7 fC} I I 0 eJ
tttlru ABxAC:;tO J:Slg'i:flst5tll:i'i'i:1tl5?ifiiilfiffl'i:1GrulG A, B, C n:lrt5'HlS
G\} u 1
~n9~M~ffiru h = (9, 6, 12) '1 l::lmsg tu~mmti~i::lrum~m'i:1nMn A(2, 1, 1) ri
1 u "" 1
a(x- x ) + b(y- y ) + c(z- z ) = 0
0 0 0
9(x-2)+6(y-1)+12(z-1) = 0

9x+6y+ 12z-36 = 0 ~ 3x+2y+4z-12 = 0 '1

runun: ~ntu~rnmti~i::lrt5Rrul~tttlruOrulG A(3, 2, -1) ' B(l, -1, 3) stl
li 1'1 "" 1
C(3, -2, 4) '1

188