# Thread: Lines in a plane

1. ## Lines in a plane

Find the shortest distance between the points (2,1,3) and (0,-4,7).

2. Originally Posted by johntuan
Find the shortest distance between the points (2,1,3) and (0,-4,7).
$\sqrt{(2-0)^2 + (1-(-4))^2+(3-7)^2 }$

3. Just to clarify for future problems the distance formula in three dimensions is:

$\sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} + (z_{2}-z_{1})^{2}}$