Distance between (-6,3,4) and (4,-1,2)?

Paola Mayer

Paola Mayer

Answered question

2022-10-15

Distance between (-6,3,4) and (4,-1,2)?

Answer & Explanation

Finnegan Stone

Finnegan Stone

Beginner2022-10-16Added 11 answers

I assume that you know the distance formula (square root of sum of corresponding coordinates squablack)
Well, that formula can actually be EXTENDED to the third dimension. (This is a very powerful thing in future mathematics)
What that means is that instead of the known ( a - b ) 2 + ( c - d ) 2
We can extend this to be ( a - b ) 2 + ( c - d ) 2 + ( e - f ) 2
This problem is beginning to look a lot easier huh?
We can just plug in the corresponding values into the formula
( - 6 - 4 ) 2 + ( 3 - ( - 1 ) ) 2 + ( 4 - 2 ) 2
( - 10 ) 2 + ( 4 ) 2 + ( 2 ) 2
120

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