Question

What is the distance between `(4,2,6)` and `(7,3,6)`?

Answer 1

`sqrt10` units

Explanation:

The distance, `(D)` between two points in 3-space `(x_1,y_1,z_1) and (x_2,y_2,z_2)` is given by:

`D = sqrt((x_1-x_2)^2 +(y_1-y_2)^2 + (z_1-z_2)^2)`

In this example: `x_1 =4, y_1=2, z_1=6 and x_2=7,y_2=3,z_2=6`

Hence, `D = sqrt((4-7)^2+(2-3)^2+(6-6)^2)`

`= sqrt((-3)^2+(-1)^2+(0)^2)`

`=sqrt(9+1+0)`

`= sqrt10` units