Page 204 - Math Grade 11 (Advance)

PROEUS DARA

7
0
tH1!ru fi. u = 2a-3b ffi'\J ~?iQl2 u = (2, -2, 10)-(0, -3, 18) = (2, I, -8)
?::
7
7
7
1$1.1
t:! LH 2 g fi H H t:!l t 2t2 ~. = ( 2 , 1 , -8 ) '1
u u
7 7 7 7 7 o:;::
:3. v = 3(a-b)-4(b-3c) ffi'\} t?iQl2
~ 7 7 7 7 7 7 7
v = 3a-3b-4b+12c=3a-7b+l2c
= (3, -3, 15)- (0, -7' 42) + (36, -12, 36) = (39, -8, 9)
t:!LH28 fiHHt:!lt2l2 t = (15, 0, -15) '1
u u

B(l, -2, -1) , C(O, -3, -4) '1

" --7 --7 --7
fi. ?iMffifiHHt:!lt2tS AB, BC, CA '1
u

~ 0
2. L''itfilrul ABC \1li5'i:f1Sfi~ rn A(2, -1, 4) , B(3, -2, 5) ,

--7 --7 --7
1. fi. AB = (2, -4, -4) , BC = (-1, -1, -3) , CA = (-1, 5, 7) '1

( 1
l
5
5)
1)
1
2 · (O, O, I) ' ( 2' -2,-2 ' -2, -2,-2 '1
--7 --7 --?
2. AB = 08-0A c
7 7 7 ,,. 7 ?>7
= (3i-2j+5k)-(2i-j+4k) = i-j+k A
--7 --? --?
BC = OC-OB
,. ,. 7 7 7 7 7 7 7
= (-i+6}+2k)-(3i-2j+5k)= -4i+8}-3k
--7 --? ---7
CA = OA-OC
0
77 7 7 7 7 7,. 7
= (2i-j+4k)-(-i+6}+2k)= 3i-7j+2k

:>:: 7 7 .. -7
1. t?i'\} a = (2, -3, 0) , b = (-3, 2, 5) 2tl C = (6, 0, -3) '1

~ 7 7 7 7 7 7 7 7
n. u = 3a -4b 2. v = 2(a+b)-3(b-2c) '1

2. ttl~HHt:!lt2t21f3g~ t = (x, y, z) Stl t = (x', y', z') ~MntiJ2J '1
ummmt;;t¢>~=2::=~ '1
tn "' x' y' z'

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