Expert answers to "Distance between (5,-6,4) and (-6,3,4)?"

High School
Geometry
High school geometry
Distance Formula

Zoagliaj

Answered question

2022-07-21

Distance between (5,-6,4) and (-6,3,4)?

Answer & Explanation

Helena Howard

Beginner2022-07-22Added 12 answers

The distance between two points (in any dimension greater than or equal to 2), is given by the square root of the sum of the squares of the differences of the correspondant coordinates. It's easier to write it in formulas than in words: if the two points are

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

and

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

, then the distance is

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

So, in your case,

\sqrt{{(5 + 6)}^{2} + {(- 6 - 3)}^{2} + {(4 - 4)}^{2}} = \sqrt{11^{2} + {(- -)}^{2}}

= \sqrt{121 + 81} = \sqrt{202}

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