Question

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

Answer 1

`2sqrt3`

Explanation:

Distance between two points `(x_1,y_1,z_1)` and `(x_2,y_2,z_2)` is given by `sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2`.

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

`sqrt((-1-1)^2+(1-(-1))^2+(-1-1)^2`

or `sqrt(2^2+2^2+2^2)`

or `sqrt12` i.e. `2sqrt3`.