Question

What is the distance between `(–10, –2, 2)` and `(–5, –1, 1)`?

Answer 1

Use the 3D distance formula.

Explanation:

The 3D distance formula is `sqrt[(x_2−x_1)^2+(y_2−y_1)^2+(z_2−z_1)^2]`

Substitute in to get
`sqrt[(-5- -10)^2 +(-1 - -2)^2 + (1-2)^2]`

`sqrt[5^2 +1^2 +(-1)^2]`

`sqrt(25+1+1)`

`sqrt27 = sqrt(9*3)` = `3sqrt3`