Question

Find the distance between the points $(3,4,-2),(1,0,7)$

Answer 1

The distance between the points $(x_1,y_1,z_1)$ and $(x_2,y_2,z_2)$ is $\sqrt{(x_1-x_2{)}^2+(y_1-y_2{)}^2+(z_1-z_2{)}^2}$

So the distance between $(3,4,-2)$ and $(1,0,7)$ is $\sqrt{(3-1{)}^2+(4-0{)}^2+(-2-7{)}^2}$

$=\sqrt{2^2+4^2+9^2}$

$=\sqrt{4+16+81}$

$=\sqrt{101}$