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

##### 1 Answer

Apr 6, 2016

#### Explanation:

In general, the distance between points

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

In our particular example, we have

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

#=sqrt((4-4)^2+(-4-(-1))^2+(-2-2)^2)#

#=sqrt(0^2+(-3)^2+(-4)^2)#

#=sqrt(0+9+16)#

#=sqrt(25)#

#=5#