Distance between (-7,6,10) and (7,-4,9)?

Clara Dennis

Clara Dennis

Answered question

2022-11-10

Distance between (-7,6,10) and (7,-4,9)?

Answer & Explanation

Zoe Andersen

Zoe Andersen

Beginner2022-11-11Added 16 answers

We seek the distance d, say, between the coordinates (-7,6,10) and (7,-4,9)? in euclidean space.
Applying Pythagoras theorem in 3-Dimensions we have:
d 2 = ( - 7 - 7 ) 2 + ( 6 - ( - 4 ) ) 2 + ( 10 - 9 ) 2
        = ( - 14 ) 2 + ( 10 ) 2 + ( 1 ) 2
        = 297
Thus:
d = 297     (NB - we seek the positive solution)
    17.2

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