Question

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

Answer 1

`sqrt(26)`

Explanation:

Distance between 2 points `(x_1,y_1,z_1)` and `(x_2,y_2,z_2)`
`color(white)("XXX")=sqrt(Deltax^2+Deltay^2+Deltaz^2) = sqrt((x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2)`

For the given points `(6,8,2)` and `(3,4,1)`
Distance
`color(white)("XXX")=sqrt((6-3)^2+(8-4)^2+(2-1)^2)`

`color(white)("XXX")=sqrt(9+16+1)`

`color(white)("XXX")=sqrt(26)`

`color(white)("XXX")~=5.099019514` (using a calculator)