What is the distance between (4,2,6) and (7,3,6)?

Markus Petty

Markus Petty

Answered

2022-07-17

What is the distance between (4,2,6) and (7,3,6)?

Answer & Explanation

lelapem

lelapem

Expert

2022-07-18Added 12 answers

The distance, (D) between two points in 3-space ( x 1 , y 1 , z 1 ) and ( x 2 , y 2 , z 2 ) is given by:
D = ( x 1 - x 2 ) 2 + ( y 1 - y 2 ) 2 + ( z 1 - z 2 ) 2
In this example: x 1 = 4 , y 1 = 2 , z 1 = 6 and x 2 = 7 , y 2 = 3 , z 2 = 6
Hence D = ( 4 - 7 ) 2 + ( 2 - 3 ) 2 + ( 6 - 6 ) 2
= ( - 3 ) 2 + ( - 1 ) 2 + ( 0 ) 2
= 10 units

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