Question

What is the distance between `(1,3,-6)` and `(-5,1,6)`?

Answer 1

`13.565`

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 `(1,3,−6)` and `(−5,1,6)` is

`sqrt(((-5)-1)^2+(1-3)^2+(6-(-6))^2)` or

`sqrt((-6)^2+(-2)^2+(6+6)^2)` or

`sqrt(36+4+144)` or `sqrt184` or `13.565`