Page 181 - Math Grade 12 (Advance)

PROEUS DARA
2,

" 7 7 7
n. U X V = -( V X U)
7 7-7 77 7-7
2. ux(v+w) = (uxv)+(uxw)

7-7-77-7
lli. U X 0 = 0 X U = 0

b. " ux u = 0
"
-7

7 7 ~ ~ 7 ...
tf:if:f1S: UXV = (u v3-u v )t-(UIV3-u3vl)j+(u1Vz-UzVI)k Sb
3 2
2
7 " 7, ~ 7
v xu = (v u - v u )1- (v u - v u )J + (v u - v u )k
2 3 3 2 1 3 3 1 1 2 2 1
0 :;::: 7 7 7 7
Sl ~ U X V = -( V X U) '1

o:;:: 7 7 -7 7, ~
Sl~ ux(v+w) = [u (v +w )-u (v +w )]z-[u (v +w )-u (v 1 +w 1 )]J
2
2
1 3
3
3
3
3
2
3
7
+[u (v +w )-u (v +w )]k '1
2
2
1
1
1 2

7 7 7
= (cu v - cu v )i- (cu v - cu v )j + (cu v - cu v )k
2 3 3 2 1 3 3 1 1 2 2 1
7 7 '
=(cu)xv'1

176