Distance between (3,15,-2) and (-4,15,4)?

Ryder Ferguson

Ryder Ferguson

Answered question

2022-10-13

Distance between (3,15,-2) and (-4,15,4)?

Answer & Explanation

flasheadita237m

flasheadita237m

Beginner2022-10-14Added 17 answers

Use the three-dimensional distance formula, which can be derived by applying the Pythagorean Theorem twice. Given two points in 3-dimensional space written in rectangular coordinates ( x 1 , y 1 , z 1 ) and ( x 2 , y 2 , z 2 ) , the distance is:
d i s t = ( x 1 - x 2 ) 2 + ( y 1 - y 2 ) 2 + ( z 1 - z 2 ) 2
For the problem at hand, this becomes
d i s t = 7 2 + 0 2 + 6 2 = 49 + 36 = 85 9.2195

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