Page 103 - Math Course 2 (Book 2)
P. 103

Transformations: Using Vectors





                component form                                    parallel vectors
                The ordered pair representation is the component   Two vectors are parallel if and only if they have the
                form of the vector.                               same or opposite direction.


                    In the diagram, CD is represented by the
                  ordered pair <4, 2>, which is the component
                                     form.                                                              U

                                                                        Z
                          y                                                               V




                                                  D

                                                                        Y

                                                                                 W

                                                                                                             X
                          0   C                     x




                                                                                   V    ||  W



                equal vectors
                Two vectors are equal if and only if they have the
                same magnitude and direction.                     Key Concept


                                                                  VECTORS


                                                      U           Words      A vector is a quantity that has both
                                                                             magnitude, or length and direction, and
                      Z                                                      is represented by a directed segment.

                                        V                         Symbols    V
                                                                             AB, where A is the initial point

                                                                             and B is the endpoint.


                      Y                                                       y
                                                                                    Magnitude
                               W

                                                           X                                   B

                                                                                       V
                                                                                               Direction
                                 V    =   Z                                            X0


                                                                              A O                       x


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