Аналитическая геометрия. Шурыгин В.В. - 3 стр.

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Составители: 

(A, B)
A B
A B
AB
AA
a, b, c, . . . ~a
~
b
~c, . . .
AB
AB
AB
|
AB|
a b
a b
a||b
AA||
CD
a b
a ↑↑ b a ↑↓ b
a b a = b |a| = |b| a ↑↑ b
 c defghij kl mnhofhogp p q mihogilkogqe
 rZr stuvuwXUx txyzuTU
 {*18-3,69 67:*+36\ 7*|6}69 b -/,-b* ;,-:0N ;*8-L-b 6,67080)*/1-M :*-K
 ;*8300\ .3*L/86b79*8 /-+-M ~OO*180b,M 0,/832;*,8 L79 3*I*,09 36[K
 70),N :*-;*830)*/10N [6L6)= €- .-;0;- .30;*,*,09 .30 3*I*,00 [6L6)
 -,6 ;-|*8 +8? 0/.-7?[-b6,6 L79 .-/83-*,09 :*-;*8300 ,6 -8,-/08*7?,-
 .3-/8-M 61/0-;680)*/1-M +6[*\ -/,-b6,,-M ,6 8*-300 6+/83618,N b*18-3K
 ,N .3-/836,/8b=
      { /--8b*8/8b00 / ~80; b ,6/8-9}*; 123/* / /6;-:- ,6)676 36[b0b6*8/9
 8*-3*801-K;,-|*/8b*,,M .-LN-L 1 -.3*L*7*,0J :*-;*830)*/10N -+*1K
 8-b\ 6 /6;- :*-;*830)*/1-* .3-/836,/8b- 36//;6830b6*8/9 161 ;,-|*/8b-\
 ,6L*7*,,-* ,*1-8-3-M /8321823-M\ 1-8-369 0 -.3*L*79*8 *:- :*-;*830)*K
 /10* /b-M/8b6=
      {*18-3-; :*-;*830)*/1-:- .3-/836,/8b6 ‚:*-;*830)*/1-M .7-/1-/80ƒ ,6K
 [b6*8/9 2.-39L-)*,,69 .636 8-)*1 (A, B) ~8-:- .3-/836,/8b6 070 ,6.36bK
 7*,,M -83*[-1= „-)16 A ,6[b6*8/9 ,6)67-; b*18-36\ 6 8-)16 B 1-, -;=
 {*18-3 / ,6)67-; b 8-)1* A 0 1-, -; b 8-)1* B .30,98- -+-[,6)68? /7*K
 L2J}0; -+36[-;† −AB  → {*18-3 −→ \ 2 1-8-3-:- /-b.6L6J8 ,6)67- 0 1-,* \
                         =
 ,6[b6*8/9 ,27*b; b*18-3-;= { 8*N /72)69N\ 1-:L6 ,6)67- 0 1-,* b*1K
                                 AA

 8-36 ,* [6L6, b 9b,-; b0L* ‚070 ,* /2}*/8b*,,ƒ\ b*18-3 -+-[,6)6J8
 .-72|03,;0 +21b6;0† a, b, c, . . . \ 070 +21b6;0 /- /83*71-M ,6b*3N2† ~a \ ~b \
~c, . . . =
      ‡70,2 -83*[16 AB ,6[b6J8 L70,-M 070 ;-L27*; b*18-36 −AB   → +-[,6K
                                                                    =ˆ
 )6*8/9 ;-L27? b*18-36 −AB → /7*L2J}0; -+36[-;† −→
                                                   |AB| =
      {*18-3 a 0 b \ 36/.-7-|*,,* ,6 .63677*7?,N     .39;N\ ,6[b6J8/9
 ‰Š‹‹ŒŽ‘’Œ= P-770,*63,-/8? b*18-3-b a 0 b -+-[,6)6*8/9 /7*L2J}0;
 -+36[-;† a||b = €27*b-M b*18-3 /)086*8/9 1-770,*63,; b/91-;2 b*18-32†
 AA||CD =
 −→ −−→
      P-770,*63,* ,*,27*b* b*18-3 a 0 b ;-:28 +8? ,6.36b7*, b -LK
 ,2 0 82 |* /8-3-,2 070 b .3-80b-.-7-|,* /8-3-,= “8- -+-[,6)6*8/9\
 /--8b*8/8b*,,-\ /7*L2J}0; -+36[-;† a ↑↑ b 0 a ↑↓ b =
      {*18-3 a 0 b ,6[b6J8/9 ”‘’Œ\ a = b \ */70 •ƒ |a| = |b| 0 ]ƒ a ↑↑ b
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