Distance between (-5,13,-14) and (-11,4,1)?

Ralzereep9h 2022-10-15 Answered
Distance between (-5,13,-14) and (-11,4,1)?
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Answers (1)

Messiah Trevino
Answered 2022-10-16 Author has 18 answers
Treat the way you would a triangle using Pythagoras but with 3 values instead of two.
Let the length between the two points be L
Let point 1 P 1 ( x 1 , y 1 , z 1 ) ( - 5 , 13 , - 14 )
Let point 2 P 2 ( x 2 , y 2 , z 2 ) ( - 11 , 4 , 1 )
Then
L 2 = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2 + ( z 2 - z 1 ) 2
So L = ( - 11 - [ - 5 ] ) 2 + ( 4 - 13 ) 2 + ( 1 - [ - 14 ] ) 2
L = 36 + 81 + 225 = 342
But 342 = 2 × 3 2 × 19 but both 19 and 2 are prime numbers
L = 3 38
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