Question

What is the distance between `(–2, 2, 6)` and `(4, –1, 2)`?

Answer 1

The distance between `(-2,2,6)` and `(4,-1,2)` is `7.81`.

Explanation:

The 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 `(-2,2,6)` and `(4,-1,2)` is

`sqrt((4-(-2))^2+((-1)-2)^2+(2-6)^2)`

= `sqrt(6^2+3^2+4^2)=sqrt(36+9+16)=sqrt61=7.81`.