Question

What is the distance between `(8, 6, 2)` and `(3, 4, 1)`?

Answer 1

`sqrt30`

Explanation:

Use the `color(blue)"3-d version of the distance formula"`

Given 2 coordinate points `(x_1,y_1,z_1)" and " (x_2,y_2,z_2)`

Then the distance between them ( d) is

`color(red)(|bar(ul(color(white)(a/a)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)color(white)(a/a)|)))`

let `(x_1,y_1,z_1)=(8,6,2)" and " (x_2,y_2,z_2)=(3,4,1)`

`d=sqrt((3-8)^2+(4-6)^2+(1-2)^2)=sqrt(25+4+1)=sqrt30`