Page 230 - Math Grade 11 (Advance)
P. 230

PROEUS DARA



                                                        ~
                                                "   0      "   7
                            t?l'i:flSrqJliHU~n.fU'i::fHli (0,  i,  j,  k)  ~t15 '1
                                     I
                            - hl~ffl~~ciftlrn~rul~ttllrucrru;u P(x ,  y ,  z )  2t~1u9a
                                                                0   0  0
                                   II   l   ~
                               rul~'i:flrn  n  =(a,  b,  c)  'i:flSrlb  ax+by+cz+d  =  0

                            - n5ru1crrul11  Q(x,  y,  z)  tdlbm~hl~ffl~ ax+by+cz+d =  0
                                  I    I              ;u   <l
                               (  ttlrn  a,  b,  c,  d  ctlcrssnr;  tmru  a,  b,  c  ~Sn5StUrl1Hf1)
                                                    u                        u  tJ   ..





                                                                        z

                 .,           .,     •    "   ?
                m z = o  m M<emmb  (O,  i,  j)
                                   <V
                 .,           .,     '    "  7
                m x  = o  ctlM-emmb co,  j,  k)
                                   <V
                 Q1           Q)     I    7   7
                m y  =  o  m M<emmb  (O,  i,  k)
                                   6V
                                                                                           y
           nhrruhh  1     nb ri~'et15H~ 61 rul~iflru  t?J§H1 rul11
                   U      ";   l.i   U            tJ   I
                               1
          P(2,  -1,  4)  Stl1u9~ ~ = (l,  -2,  3)  '1
                          I
                     C»   ")   .  '   eJ   •
                ~nhl'efflHSUb (a)  ttlrnmr;m-e  P
                           6V






                            hl~ffl~tsuci (a)  'i:flSrlb  ax+by+cz+d =  0  ttlrn  (a,  b,  c)  ctl
                                     fN
                                             7
                                       <;!
                                      "
                                                                   7
                                                                "
                                                                      <:1<
                                           C)
                            nHHf1HSt2l11!i~ u  '1  ttllt15nHHtllt2t2  u  ?1  (1,  -2,  3)  tSHt?1Q12
                             U          I              U
                            a  =  1  ,  b  =  -2  ,  c  = 3  i1 ~ x- 2y + 3z + d  =  0  '1
                            ttllru  PE(a)  t?1Q12  2-(2)(-1)+3(4)+d =  o  ,  d  =  -16  '1
                            tl11t28  hl~ffl~tsuci (a)~  x-2y+3z-16=0  '1
                             U              GV
                      91'
                                                              ---7  7
                   0
                                       00
                                    0
                                                         C)
                ttfJ 1J11  2  :  (a)  ctl!Urul11rul11  Q(x,  y,  z)  ttlrn  PQ · u  =  0  '1
                                       1
                                           I
                                  ---7
                            ttllt15  PQ  'i:flSnHHtlltS  (x-2,  y+l,  z-4)  t8l&t?1Q12
                                           u
                            ---7  7
                            PQ·u=(x-2)l+(y+l)(-2)+(z-4)3 = x-2y+3z-16
                            !:lms&  PQ·~=O  N'i:H~rnx-2y+3z-16=0  ctlM@m~Zsuci
                             u                     u                                 G\1
          (a)  '1
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