Distance between (-2,4,-13) and (-4,5,-22)?

Markus Petty

Markus Petty

Answered question

2022-07-18

Distance between (-2,4,-13) and (-4,5,-22)?

Answer & Explanation

Kyan Hamilton

Kyan Hamilton

Beginner2022-07-19Added 12 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
We can just plug in the corresponding values into the formula
( - 2 - - 4 ) 2 + ( 4 - 5 ) 2 + ( - 13 - - 12 ) 2
( 2 ) 2 + ( - 1 ) 2 + ( - 1 ) 2
This becomes 4 + 1 + 1
Which is 6

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