Distance between (3,5,-2) and (-8,5,4)?

wstecznyg5

wstecznyg5

Answered

2022-07-14

Distance between (3,5,-2) and (-8,5,4)?

Answer & Explanation

agyalapi60

agyalapi60

Expert

2022-07-15Added 17 answers

Recall the very useful formula to calculate the distance in 2 dimensions i.e: between 2 points: ( x 1 , y 1 ) , ( x 2 , y 2 ) :
d = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2
In 3 dimensional space the distance between 3 points is calculated by adding 3rd dimension to the above formula, so now the distance between points: ( x 1 , y 1 , z 1 ) , ( x 2 , y 2 , z 2 ) is:
d = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2 + ( z 2 - z 1 ) 2
In this case the points are: (3,5,−2),(−8,5,4) so we have:
d = ( - 11 ) 2 + ( 0 ) 2 + ( 6 ) 2
d = 121 + 0 + 36
d = 157
d 12.53

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