Question

What is the distance between `(–6, 3, 4)` and `(–10, –2, 2)`?

Answer 1

The distance is `3sqrt5`.

Explanation:

The distance between `(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`(–6,3,4)` and `(–10,–2,2)` is

`sqrt((-10-(-6))^2+(-2-3)^2+(2-4)^2)` or

`sqrt((-4)^2+(-5)^2+(-2)^2)` or

`sqrt(16+25+4)` or `sqrt45` or `3sqrt5`