Page 27 - E Modul Vektor (Revisi)
P. 27

Modul Matematika Peminatan X


                                6
                        ⃗⃗⃗⃗⃗
                             = (0)
                                0

                             =    −   
                        ⃗⃗⃗⃗⃗
                                 4       −2
                             = ( 3 ) − ( 3 )
                        ⃗⃗⃗⃗⃗
                                −1        5
                                 6
                             = ( 0 )
                        ⃗⃗⃗⃗⃗
                                −6


                                    6      6
                        ⃗⃗⃗⃗⃗  ⃗⃗⃗⃗⃗
                            .      = (0)  . ( 0 )
                                    0     −6
                        ⃗⃗⃗⃗⃗  ⃗⃗⃗⃗⃗
                            .      = 36 + 0 + 0 = 36


                        |    | = √6 + 0 + 0
                         ⃗⃗⃗⃗⃗
                                   2
                         ⃗⃗⃗⃗⃗
                        |    | = 6


                         ⃗⃗⃗⃗⃗
                        |    | = √6 + 0 + (−6)
                                   2
                                                2
                         ⃗⃗⃗⃗⃗
                        |    | = 6√2

                                  ⃗⃗⃗⃗⃗  ⃗⃗⃗⃗⃗
                                      .     
                                  =
                                  ⃗⃗⃗⃗⃗  ⃗⃗⃗⃗⃗
                                 |    ||    |

                                   36
                                  =
                                 6 .6√2
                                 1
                                  = √2
                                 2
                                    1
                           =        cos √2
                                    2
                           = 45°



                        Jadi besar sudut        adalah 45°.






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