What is the distance between (0,1,-4) and (-1,4,3)?

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bibliothecaqz · Accepted Answer

The Distance PQ btwn. pts.       P          (              x        1            ,              y        1            ,              z        1            )        &amp;amp;    Q          (              x        2            ,              y        2            ,              z        2            )       is      P    Q    =                                        (                          x              1                        -                          x              2                        )                    2                +                              (                          y              1                        -                          y              2                        )                    2                +                              (                          z              1                        -                          z              2                        )                    2                      .  So, in our case, the reqd. dist. is,                                          (            0            +            1            )                    2                +                              (            1            -            4            )                    2                +                              (            -            4            -            3            )                    2                      =                  1        +        9        +        49                  =          59        ≈    7.68    .

What is the distance between (0,1,-4) and (-1,4,3)?

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