Distance between (3,-2,-2) and (5,-4,-6)?

Lilliana Livingston

Lilliana Livingston

Answered

2022-07-23

Distance between (3,-2,-2) and (5,-4,-6)?

Answer & Explanation

jbacapzh

jbacapzh

Expert

2022-07-24Added 18 answers

The distance between the two points can be found using a kind of extended Pythagoras formula:
d 1 2 = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2 + ( z 2 - z 1 ) 2
so, using our coordinates given in the problem:
d = ( 5 - 3 ) 2 + [ - 4 - ( - 2 ) ] 2 + [ - 6 - ( - 2 ) ) 2 = 4 + 4 + 16 = 24 = 4.89 units
d = ( 5 - 3 ) 2 + [ - 4 - ( - 2 ) ] 2 + [ - 6 - ( - 2 ) ) 2 = 4 + 4 + 16 = 24 = 4.89 units

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