Page 84 - Mathematics Class - XII
P. 84

Fig. (a)

        OBSERVATION

        Coordinates of the point C = (5, –1, 3).
        Coordinates of the point D = (–5, –6, 4).
        On actual measurement: the distance CD = 11.3 cm


                                               2
                                                                  2
                                                         2
                                                  (
        Using distance formula; CD =  (  55   )     61  )    (  43 )   100 25      1  126   11 .22 cm
        On actual measurement: AC = 6.3 cm
        Using distance formula; AC =    (54   )   ( 15    )   (31   )    1364       41    . 64
                                                                 2
                                                        2
                                              2
                                BC = _________,  AD = _________,  CD = _________,  BD = _________.
                                AC = _________,  BC = _________,  AD = _________.
        Using distance formula;
                                BC = _________,  AD = _________.
                                CD = _________,  BD = _________.

        Thus, the distance between two points in space obtained by actual measurement and by using distance formula
        is approximately the same.

        APPLICATION
            1.  This activity is useful in visualising the position of different points in space (coordinates of points).
            2.  The concept of position vectors can also be explained through this activity.

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