What is the distance between (1,-1,1)(1,−1,1) and (-1,1,-1)(−1,1,−1)?

1 Answer
Shwetank Mauria
Feb 21, 2016

2sqrt32√3

Explanation:

Distance between two points (x_1,y_1,z_1)(x1,y1,z1) and (x_2,y_2,z_2)(x2,y2,z2) is given by sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2√(x2−x1)2+(y2−y1)2+(z2−z1)2.

Hence distance between two points (1,−1,1)(1,−1,1) and (−1,1,−1)(−1,1,−1) is

sqrt((-1-1)^2+(1-(-1))^2+(-1-1)^2√(−1−1)2+(1−(−1))2+(−1−1)2

or sqrt(2^2+2^2+2^2)√22+22+22

or sqrt12√12 i.e. 2sqrt32√3.

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