Page 44 - FOCUS KSSM TG 4 MATEMATIK TAMBAHAN
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Matematik Tambahan  Tingkatan 4  Jawapan

                15.   U                                         9.  (a)  31i + j      (b)  ABBB
                                                                                          793 unit
                                                                       ~ ~
                                   80° 3 cm                       (c)  ———(19i + 4j)
                                                                       1
                                                                      ABBB  ~  ~
                                                                      377
                                              20°
                           5 cm             2 cm               10.  (a)   1 2         (b)  16 unit
                                                                      35
                                                                      2
                                                                          17
                                                                       1
                          40°      Vektor paduan kapal            (c)  ——— 1 2
                                                                      ABBB 22
                                                                      773
                                                                                           4
                              1 cm mewakili 20 km j –1         11.  (a)  i + 5j       (b)  – —i – 4j
                                                                     ~  ~                  5~  ~
                                           3   4
                                                                      34
                                                                                          1
                16.  (a)  (i)  5p + 10mq  (ii) —p + —q            (c)  —–i + 3j       (d) ——–( i + 5j)
                         ~     ~           n ~  n ~                   5 ~  ~              ABB  ~  ~
                         2    3                                                           26
                   (b)  m = —; n = —
                                                                                             8
                         3    5                                12.  (a)  –10i – 4j    (b)  –4i – — j
                              –1
                17.  (a)  801.56 km j  pada bearing 003°359            ~  ~               ~  5~
                                                                                              7
                                                                          13
                   (b)  2 405 km                                  (c)  –12i – —–j     (d)  –2i + — j
                                                                       ~   5 ~            ~   5~
                   Cuba ini!                        8.3                1
                                                                  (e)  ——–(–5i – 2j)
                                                                          ~
                                                                       29
                 1.  a = 3i + 2j       b = –6i – 2j                   ABB     ~
                   ~  ~  ~             ~   ~  ~
                   c = –i – 5j         d = 4i + 2j             13.  –14
                   ~  ~  ~             ~  ~  ~
                   e = i – 2j          f = –2i + 3j            14.  3
                   ~  ~  ~            ~   ~   ~
                                                                         113
                   g = –4i + j         h = 3i + 3j             15.  (a)  m = —––, n = –30   (b)  12i – 9j
                   ~   ~ ~             ~  ~  ~                            5               ~  ~
                 2.  (a)  (i)  5i + 6j   (ii)  3i + 5j
                         ~  ~             ~  ~                 16.  9
                   (b)  (i)  –i + 4j   (ii)  4i – 13j
                         ~  ~             ~   ~                17.  (a)  (22, –10)    (b)  25 m
                   (c)  (i)  2i – 4j   (ii)  –10i – 9j
                         ~  ~               ~  ~               18.  (a)  P(14, –22), Q(35, 1)
                   (d)  (i)  –4i – 2j  (ii)  i – 7j
                                                                       1
                          ~  ~           ~  ~                     (b)     (21i + 23j) m s –1
                                                                           ~
                                                                               ~
                                          –5
                      1
                 3.  a =  1 2          b =  1 2                       970
                   ~  3                ~  –2
                                                                          Praktis SPM         8
                                          –2
                      4
                   c =  1 2            d =  1 2
                   ~  –3               ~  2                   Kertas 1
                                                                      2               (b)   8 unit
                                          3
                       5
                                                                1.  (a)  2— unit
                   e =  1 2            f =  1 2                       3
                   ~  –2              ~   –5
                                                                                           6
                                                                2.  (a)  –3           (b)  – —
                      –3
                                          5
                   g =  1 2            h =  1 2                                            5
                   ~  –6               ~  1                            14    5
                                                                3.  m = – —–, n = —
                 4.  (a)  ABB          (b)  ABBB  unit                  3    3
                                          116
                       74 unit
                   (c)  ABB            (d)  ABBB                4.  (a)  –5  19       (b)  9
                                          145 unit
                       65 unit
                   (e)  ABBB           (f)  ABB                 5.  (a)  – —–         (b)  6 : 5
                                                                       3
                       101 unit
                                          65 unit
                                                                           5
                      1                    1  –6                6.  m = – 4, n = —
                 5.  (a)  —(4i + 3j)   (b) ——– 1 2                         3
                      5 ~  ~              ABB 3                 7.  (a)  12p + 8q     (b)  15p + 10q
                                           45
                                          1 –6
                       1
                                          10 1 2
                   (c)  ———(11i – 5j)  (d) —–                          ~   ~               ~   ~
                      ABBB  ~  ~             –8                 8.  m = 6, n = 5
                       146
                                           1
                                              7
                       1
                                                                                         12
                                                                        3
                   (e)  ———(–6i + 10j)  (f) ——– 1 2             9.  (a)  b – —a       (b) —–a + b
                      ABBB  ~   ~         ABB –4                     ~  5 ~               5 ~  ~
                                           65
                       136
                                                               10.  h =   19
                 6.  (a)  3i + 10j     (b)  7i + 2j                   2
                      ~   ~               ~  ~
                   (c)  11i + 5j                               11.  (a)  9m  – 6n     (b)  6m  + 2n
                       ~  ~                                           ~   ~               ~   ~
                                                                        9
                                                                   18
                 7.  (a)  8i – 21j     (b)  –5i + 19j          12.  —–x + —y
                      ~   ~                ~   ~                   5    5
                   (c)  –3i + 2j                                                          →
                       ~  ~                                    13.  (a)  a + b – c + d  (b)  QS
                 8.  (a)  –16i + 40j   (b)  –6i + 15j                ~  ~  ~  ~
                                                                       3
                        ~   ~              ~   ~                       —
                       10   25                                         5
                   (c)  – —–i + —–j
                        3 ~  3 ~                               14.  (a)   —           (b)  18
                                                                       4
                                                                       5
                                                                                                    247
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