Page 210 - Math Grade 11 (Advance)

PROEUS DARA

5.

5.1

z

y
tmtrnn~:m~~ ox, oy, oz tUb[l

tf:l ru 0/ = OJ = OK = 1 '1
0 • :> ----7 7 ---7 7 ---7 X
tf:1nlliH1 i = OJ , j = OJ , k = OK

f'-'ru o 1 J K i§sr~hHsinb'li~tfi'i:Hl5 '1
[;! ' ' ' " "' 6V IJ
1
<;~"t?7o '> o
.crg~ i, J, k omstmrutsru'Ul'i:Hl5 '1
l A IJ
I
13'hbtg'lfi 1cr?hilbutsg m1cr9Jtlnm ttilruHJfi.nrunrnmri~<J '1
i.J" J 1 1 uu "'

77 7 7 7 7 7 7
tf:1QlS u · v = (xi+ yj + xk) · (x'i + y'j + z'k)
,. 2 72 7 2 7 7 7 7 7 7
= xx'i + yy'j + zz'k + (xy' + yx')i · j + (yz' + zy')j · k + (zx' + xz')k ·l
7 2 72 7 2 "" 7 7 7 7 7 7
i = J = k = 1 sb i · J = i · J = i · J = o
7 7
u · v = xx' + yy' + zz' 'i

II 1':> 0 eJ ':> t:» ~ C) 7
nbtmrumfirulJ'i:fmHsru'Ul druf:1n..nn.mrutsm.criH u = (x, y, z)
"' u 1 n 1
1
"'"' 7 <::11 7 7
Sw v = (x', y', z') f:1 u · v = xx' + yy' + zz' '1
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