What is the distance in space between the points with coordinates (-3, 6, 7) and (2, -1, 4)?
Answer (2)
A ( − 3 ; 6 ; 7 ) ; B ( 2 ; − 1 ; 4 ) ∣ A B ∣ = ( 2 − ( − 3 ) ) 2 + ( − 1 − 6 ) 2 + ( 4 − 7 ) 2 = 5 2 + ( − 7 ) 2 + ( − 3 ) 2 = 25 + 49 + 9 = 83
The distance between the points (-3, 6, 7) and (2, -1, 4) is calculated using the 3D distance formula, resulting in 83 units. This involves substituting the coordinates into the formula and performing the necessary calculations. It illustrates how to apply the distance formula in three-dimensional space.
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