Distance between (-5,13,4) and (2,-16,-2)?

Amira Serrano

Amira Serrano

Answered question

2022-10-17

Distance between (-5,13,4) and (2,-16,-2)?

Answer & Explanation

Amadek6

Amadek6

Beginner2022-10-18Added 21 answers

We know that the distance formula for cartesian coordinates is as follows:
( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2
In the case where there are three dimensions ( x , y , z ) , you just need to add another term to account for the z-coordinates.
( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2 + ( z 2 - z 1 ) 2
Plugging in the values from the given
[Solution]
d = 7 2 + ( - 29 ) 2 + ( - 6 ) 2
d = 49 + 841 + 36
d 30.4302

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