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

seguitzi2 2022-10-09 Answered
Distance between (3,-1,1) and (-1,4,-2)?
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Answers (1)

Jane Reese
Answered 2022-10-10 Author has 8 answers
We are given two points in 3 .
Let's find a vector that connects these two points, then compute the length of that vector.
[ 3 , - 1 , 1 ] - [ - 1 , 4 , - 2 ]
= [ ( 3 - ( - 1 ) , ( - 1 ) - 4 , 1 - ( - 2 ) ]
= [ 4 , - 5 , 3 ]
Now the length of this vector is:
4 2 + ( - 5 ) 2 + 3 2 = 16 + 25 + 9
= 50 = 25 2 = 25 2 = 5 2
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