Distance between (2,-4) and (-10,1)?

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Karsyn Lam · Accepted Answer

Assuming these 2 points, call them       x                and              y    ,   are in             ℝ      2       which is a complete metric space and a complete normed space, we may use either the normal Euclidean metric or the metric induced by the norm to evaluate the distance.Normal Euclidean metric:      d          (      x      ,      y      )        =                                        (                          x              1                        -                          x              2                        )                    2                +                              (                          y              1                        -                          y              2                        )                    2                          =                                        (            2            -                          (              -              10              )                        )                    2                +                              (            -            4            -            1            )                    2                          =    13  #Metric induced by the norm:      d          (      x      ,      y      )        =          |              |        x        -        y        |            |            =                                        (                          x              1                        -                          x              2                        )                    2                +                              (                          y              1                        -                          y              2                        )                    2                          =    13

Distance between (2,-4) and (-10,1)?

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