What is the distance between (–2, 2, 6) and (4, –1, 2)?

1 Answer
Jun 24, 2016

The distance between (-2,2,6) and (4,-1,2) is 7.81.

Explanation:

The distance between two points (x_1,y_1,z_1) and (x_2,y_2,z_2) is given by

sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)

Hence distance between (-2,2,6) and (4,-1,2) is

sqrt((4-(-2))^2+((-1)-2)^2+(2-6)^2)

= sqrt(6^2+3^2+4^2)=sqrt(36+9+16)=sqrt61=7.81.