# What is the distance between (-7,-3,6) and (-3,5,1)?

Nov 25, 2015

By using Pythagoras:

#### Explanation:

Distance on the $x - y$ plane is $\sqrt{{\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

Then the distance including the $z$ plane is
$\sqrt{{\left({z}_{2} - {z}_{1}\right)}^{2} + {\left({x}_{2} - {x}_{1}\right)}^{2} + {\left({y}_{2} - {y}_{1}\right)}^{2}}$

Just use substitution to solve.