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in 3D Coordinate Geometry by (30.7k points)
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Find the distance between the following pairs of points : A(3, 2, -1) and B (-1, -1, -1)

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Given: A(3, 2, -1) and Q(-1, -1, -1) 

To find: Distance between given two points 

Formula used: The distance between any two points (a, b, c) and (m, n, o) is given by,

 \(\sqrt{(a-m)^2+(b-n)^2+(c-0)^2}\)

Therefore, 

Distance between (3, 2, -1) and (-1, -1, -1) is

\(\sqrt{(3-(-1))^2+(2-(-1))^2+(-1-(-1))^2}\) 

\(\sqrt{(3+1)^2+(2+1)^2+(-1+1)^2}\) 

\(\sqrt{(4)^2+(3)^2+(0)^2}\) 

\(\sqrt{16+9+0}\)

\(\sqrt{25}\) 

= 5

Hence, Distance between A and B is 5 units

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