Page 211 - Math Grade 11 (Advance)

PROEUS DARA

n. rh1u9a ft = (x, y, x) Sb t = (x', y', z') HH1nrunrum ill &1filt61 ft · t = 0
I uu ~ 1 G
7 7
u.lv tu'i:3'i:3ill xx' + yy' + zz' = 0 '1
u
eJ Q~ \) ~ ~ 7 0 I
:6. MtruSwM'8 ~S~ti!:H u = (x, y, z) i'Hl..fl61ttilru
n 1

7 7
7 7 171 171 o l': u · v xx' + yy' + zz'
u · v = u · v cos e 21 '11 cos - - '1
2
-~~1-ltl- Ji+i+l Jx' +/

0 • 0
rutmrHu
ll
l u 9 ~ 21b tLm'i:3 §

n. ~ = (3, -1, 2) , t = (1, -1, -2)

:6. t = (-4, 0, 2) ' t = (2, 0, -1)

2
2
2
2
2
2
n. ltl = )3 +(-1) +2 = Ji4 ltl = )1 +(-1) +(-2) = J6 '1
2 2 2 2 2 2
:6. 1~1 = J(-4) +0 +2 = 2J5 ' ltl = )2 +0 +(-1) = J5 '1
n. t-t=3·I+(-l)(-1)+(2)(-2) = 3+1-4 = o
:6. tt-t = (-4)(2)+(0)(0)+(2)(-1) = -8-2 = -10 '1
~-t 0 0 8=~'1
n. cose = ltlltl = Ji4J6 = j84 = o = 2
t. t -10 -10
:6. cose = - = -- = -- = -1 = e = :rr '1
I til tl J26 J5 JTOO
1. and ruf!1 nn hlltru ts f!11u9 ~21b t~ill'i:3
I n U I lj
7,. 77 7 ,.,. 7
n. t = (-2, 2, 3) , t = (4, s, 6) :6. u = 4i + 3}- k ' v = -2i + j + 3k
7 7 7 7
R. a = ( 1 , l , 2) , b = ( 2, -I , 1 ) m. a = ( 1 , -1 , 4) , b = ( 2, 1 , 2)

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