Аналитическая геометрия и линейная алгебра. Умнов А.Е. - 59 стр.

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cÈÏ Ëã
63
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rr n
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n
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r
0
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K
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O
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λ
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c È Ï  Ë ã                                                      63
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                                                                                                                 →               →                     →          →       →
    cËËÓÒË                                                                             °‚°ˆ  MK = λ n ˆºÈ r = r1 + λ n  cÒ° 

                                                                                        °‘º}È K ¹¯ÒÓÈãËÎ҈ ÈÓÓº® ¹¯«äº® ¹º
    
                                                                                              ªˆºä‚ÒäËˈäË°ˆº°ººˆÓº ËÓÒË
                                                                                                                             → →             →       →
    L                                                                        ( n , r1 + λ n − r0 ) = 0 
                                                                  →                                                                     → →           →
     n                                                                                         ( n , r1 − r0 )
                                                                                        |ˆ}‚È λ = −                                                
                                                                                                                                              →2
                       →
     r0  K                                                                                            |n |
                                                                                        
                                                                                                                                                                                  →
                                         →
                                                                                         °º°ˆÈmã«« λ mm©¯ÈÎËÓÒËã« MK ¹ºã‚
     r 
                                                           →                                                                                     →
                                                                                                                  →               →       →
    Oλ n                                                            Òä | MK | = |( r1 − r0 ,
                                                                                                                                                 n
                                                                                                                                                      )| 
                                      →                                                                                                          →
     r1 M                                                                                                     |n |

    èqxytvr
    
              
    °‚°ˆ        °Ò°ˆËäÈ                                   }ºº¯ÒÓȈ                         º¯ˆºÓº¯äÒ¯ºmÈÓÓÈ«                                            iã«             ‚¯ÈmÓËÓÒ«
                                                                                                                                                    →          A
          Ax + By + C = 0 ,                          A + B > 0 }È}­©ãº¹º}ÈÏÈÓºmË}ˆº¯ n =                                                                  ¹Ë¯¹ËÓÒ}‚ã«
                                                                                                                                                               B
                                                                 →               A( x1 − x 0 ) + B( y1 − y 0 )
         ¯ËÓ¹¯«äº®ºªˆºä‚ | MK | =                                                                                                  
                                                                                                   A2 + B 2
    
                                                                                                    →
         ¯ÒÓÒäÈ« mº mÓÒäÈÓÒË ˆº ˆº}È r0  ãËÎ҈ ÓÈ ¹¯«äº® L Ò °ã˺mȈËã Óº
         Ax 0 + By 0 + C = 0  äºÎÓº  ÏȹҰȈ     º}ºÓȈËã Ó©®    ºˆmˈ    m    mÒË
              →               Ax1 + By1 + C
         | MK | =                                               
                                     A2 + B 2
                  
                  
                  
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                                   rj
                  
                  
                  
    ‘˺¯ËäÈ                      ‚°ˆ ˆº}Ⱥ­È«ã«m°Ë²¹¯«ä©²¹‚}È«mã«Ëˆ°«ˆº}º®¹Ë¯Ë°Ë
                            ËÓÒ«Ó˹ȯÈããËã Ó©²¹¯«ä©² A1 x + B1 y + C1 = 0 Ò A2 x + B2 y + C2 = 0 
                                   ‘ºÈ
                                   
                                          ° iã« ã ­º® ¹¯«äº® ¹‚}È ÓÈ®ˈ°« ¹È¯È ÓË ¯ÈmÓ©² ӂã 
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