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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 : 

P(1, -1, 0) and Q (2, 1, 2)

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Best answer

Given: P(1, -1, 0) and Q(2, 1, 2) 

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 (1, -1, 0) and (2, 1, 2) is 

\(\sqrt{(1-2)^2+(-1-1)^2+(0-2)^2}\) 

\(\sqrt{(-1)^2+(-2)^2+(-2)^2}\) 

\(\sqrt{1+4+4}\) 

\(\sqrt{9}\) 

= 3

Hence, Distance between P and Q is 3 units

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