Page 11 - Grab Me SPM Add Mathematics Form 4,5
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86
                                                                              Geometry
            CHAPTER  8  VECTORS




           8.1  Vectors
                      Scalar quantity                        Vector quantity
           A quantity that has magnitude.         A  quantity  that  has  magnitude  and  direction.
           Example: Distance, speed, mass and height  Example: Velocity and weight
                             →
          •  The vector notation is AB or a with magnitude   •  If a = b, then |a| = |b| and the directions for both
            →
                                  ~
                                                                ~
                                                             ~
                                                    ~
                                                       ~
                                                   vectors are the same.
            |AB| or |a|. ©PAN ASIA PUBLICATIONS
                 ~                                 →    →    →           →
                         →         B             •  AB = lPQ Í AB is parallel to PQ where l is a
                         AB or a                   constant.
                            ~  ➤                                             →    →
                                                 •  Points  A,  B  and  C  are  collinear  if AB =  lBC,
                         A                         →    → →      →
                 →                          →     AB =  bAC, AC =  mBC  and  there  is  a  common
          •  Vector BA  is  a  negative vector  of  vector AB,   point.
                                     →
                      →
                  →
                                 →
            that is, – AB = BA = –a and |– AB| = |AB| but both   •  Given a and b are two non-zero vectors and are
                                                       ~
                                                            ~
                          ~
            are moving in the opposite direction.  not parallel.
          •  Zero vectors,  0  has  zero  magnitude  and  no   If ha = kb, then h = k = 0.
                       ~
            direction.                                       ~  ~
        Ch 8_Grab Me SPM AddMaths F4.indd   86                               26/04/2022   9:16 AM
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