Page 251 - Math Grade 11 (Advance)

PROEUS DARA

2
5. (x, y, z) = (-12, -3, 3) 6. x : x : x = 3 : 4 : 5 7. k = - 3
1 2 3
8.

2 ? ?
9. fi. (x-1) +(y+ 1r+(z-2r = 22

11. fi. 6. t = -1 t-\t = -1 , \t-6=3

-7 -7 13 -7 --7 9 --7 -7 7
2. u·v =- v·w =- w·u =-
15 ' 10 ' 6
---7 ---7 2 ---7 ----7 2 ---7 ---+
12. SA· SB =a SA· SC =a SA· AC = 0
' '

--7 ---+ 1 2 --7 ---+ 1 2
1. fi. AM·CD =-a BM·CD =-a
2· ' 2
7-2
2. fi. x-2 = y+3 =- 2. ( 1' 1, 1)
4
3. fi. (3, -1, -1) 2. 8 = ~ ti 8 = 90°
2 "'-
4. fi. y+z-7 = 0 2. 4x-2y+3z-31 = 0

tl. 3x+6y-4z+ 12 = 0 lli. 20x+ l5y+ 12z-l20 = 0

5. ~ = (3, o, 1) , ~ = (I, -JS, 2) , 8 = ~ y_ e = 60°

6. x - y + z = 0 , 2x + 3 y - z + 4 = 0

7. fi. ~=(2,3,-6) 2. t = 1 tl. H(2, -1, 1)

Ut:fHti HM = 7
.,
0
G~Uj~Q Cl'l

L ~~ (3, 7, 0) m thtHtiti~ xy
3
~ lJ 6V
4
~~ (0, 7, 4) m th13U5ti~ yz
~ lJ ""
2. fi. m=O , n = -9 2. m = 5 3. 2(x-3) = ,J2(y+l) = 2(z-2)

4. 2x y-z = 2 5. 13x- y- 7z = 24 6. 4 7. n. sJ2 !J. (8, 6, 10)
2
X + I - y - z -
8. 8 = ~ ~ 8 = 90° 9. t = 3(l+J2) 10 · -4- - 4 - -3- 11 - (4 3 1 )
· n.
' ' -
2 4
5 7
2. (10, 5, -5) 12. fi. 3:2:4 2. 3x + 2y + 4z = 42 13. b = , c = , d = 0
4 4
--7
14. 2x + 2y + 3z- 0 = 0 15. fi. U = (1, 3, I) 2. X + 3y + Z + 2 = 0 '1
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