Page 213 - Math Grade 11 (Advance)
P. 213
PROEUS DARA
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ruunnt:i~ 1 ttl~~= (I, -1, 2) st! t =(-I, -2, o '1
t ~ ru ~ -lt = ( 1 + l, 2l- 1, 2 -l) '1
"7 7"'7" 7 77
[&) u-lv stl u tntlm tSl8 (u-lv)·u = 0
ct
sl2J ti:JQIS (t-lt)·~ = (l)(l+l)+(-1)(2!-1)+(2)(2-l)
= 1 + l- 2l + l + 2- 2l = - 3! + 4
7 z7
... 7 4
1 =-
tn (u- v)·u = 0 , -3l+4 = o~
3
4
l = - '1
3
0 ' 0
rutmnti~ 2 Qtln[33ru~u~ruum ti:t~ticrrup::; A(I, 4, 2) , B(2, 1, 3) .
'II
I I
C(-2, 2, -1) '1
--7
ff1'tlUL'tflU ti:l(flS AB = (2-l, 1-4, 3-2) = (1, -3, 1)
---7
AC = (-2-1, 2-4, -1-2) = (-3, -2, -3)
---7 --7
AC·AB = (-3)(1)+(-2)(-3)+(-3)(1) = -3+6-3 = 0
---7 --7
tHHS& AC.lAB '1
u
... ...
~5iH5f! 1. tti2J ~ = (2, -I, 4) st! t = (-4, s, 3) '1
2. tt;§'ii:JU ABCD-EFGH ttfirucrn.ncr L, M Stl N dlGMunrunru
U U I I A
\;) &:::l 0 • 0
tS'it::ltl EF, FG Stl GC '1 mnMn'tl LLMN = e '1
LJ u 1
l
3. ntln'~'tlti5Hann.n~m ti:l§'lticrn.ncr A(2, 1, o) , B(o, 2. I) ,
ct lJ U U I
I I
C(O, -1, 4)
cJ --7 ---7
n. fiMSl~blii:lMnfHbli AB · AC '1
n
0 Oe1 0 t;:» --7 Q ---7
2. t1 n.n Sl'tl e dl'tltf:l ru~ t9'lb t~ ru AB sb Ac '1
I 1 A i.f
I
208