What is the distance between (13,-14,1) and (12,-21,6)?

Bavikhove8h 2022-09-04 Answered
What is the distance between (13,-14,1) and (12,-21,6)?
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Answers (1)

Yasminru
Answered 2022-09-05 Author has 6 answers
This is the coordinate system for 3-space. When it is broken down into projections onto the planes you end up with two triangles that are linked by a common side. Consequently we can turn to that good old favourite: Pythagoras.
Let the distance between points be d
d = ( x 2 - x 1 ) 2 + ( y 2 - y 1 ) 2 + ( z 2 - z 1 ) 2
d = ( 12 - 13 ) 2 + ( - 21 - ( - 14 ) ) 2 + ( 6 - 1 ) 2
d = 75 = 5 2 × 3
d = 5 3
d = 8.660 to 3 decimal places
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