Page 187 - Math Grade 12 (Advance)

PROEUS DARA
M(;1:f1l11fi qp ri : n:n ru 'f ~ Ln l{ll Ul61 = It x it/ s b 7 -7
vxw
R r~ Mlli MLY 1: ru 11 &'li61 ftj rumstl'n 118 ~:run ru &'nb lli n5
1n9~ txit tl'ntru1o9~ t ftjruffltlt~ru t· tS'H'i:fl2
1 1
I C:.VcJU d1 0 1 ~
mMLYtrur~m5Hi v = (nr!M) x (t~Lnl{l1Ul61)
V= ~~·lit X it/

v= Itt· . ct· x it)/ '1

0 I 0 I C»e/lf cJ ~ ~. ~ 7 7 ~ 7 3!..
f7J1.mfif!il: ~n'i:fl2mMLmrumli6ltf;jru'i:fls u = 3t-5J+k v = 2j-2k ... w
-7 ~ t 7 '
w = 3i + j + k dll_Eltldlti '1
1

3 -5 1
2 -2 0 2 0 2
V= 02-2 =3 -(-5) +(!) =3(4)+5(6)+1(-6)=36'1
1 1 3 1 3 I
3 1
.. ' 7 7
Mfi1f7J : u, v
M61ntlu~f6ltl'ru '1
~ c:; 6V u
1
~
wnuu : n'i:fl2Lm ruri fli61 ftj ru'i:flsl_Eltlmli &, t stl it ~u~tl tLffltl'
1
7 "·~,. 77-7 77
n. u = 1 + 1 v = j + k , w = i + k
7 7 -7
2. u = (1, 3, 1) ' v = (0, 5, 5) ' w = (4, 0, 4) '1

7 7-7 77 7-7
2. ux(v+w) = (uxv)+(uxw)
7 7 7 7 7 7 7 7 7 7 7
~. c(uxv) = (cu)xv = ux(cv) lli. U X 0 = 0 X U = 0
7
7 7
tJ. U XU = 0

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