"Distance between (-6,3,1) and (0,4,-2)?" was answered by students like you

gaiaecologicaq2

Answered question

2022-07-16

Distance between (-6,3,1) and (0,4,-2)?

Answer & Explanation

gutinyalk

Beginner2022-07-17Added 11 answers

In a two dimensional plane, distance between two points

(x_{1}, y_{1})

and

(x_{2}, y_{2})

is given by

\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}

and in three dimensional space, distance between two points

(x_{1}, y_{1}, z_{1})

and

(x_{2}, y_{2}, z_{2})

is given by

\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} + {(z_{2} - z_{1})}^{2}}

Hence, the distance between (-6,3,1) and (0,4,-2) is

\sqrt{{(0 - (- 6))}^{2} + {(4 - 3)}^{2} + {(- 2 - 1)}^{2}}

\sqrt{6^{2} + 1^{2} + {(- 3)}^{2}} = \sqrt{36 + 1 + 9} = \sqrt{46} = 6.782

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