# What is the distance between #(11,-13,-5)# and #(9,-14,4)#?

##### 1 Answer

Mar 21, 2018

#### Explanation:

#"using the 3-d version of the "color(blue)"distance formula"#

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

#"let "(x_1,y_1,z_1)=(11,-13,-5)" and "#

#(x_2,y_2,z_2)=(9,-14,4)#

#d=sqrt((9-11)^2+(-14+13)^2+(4+5)^2)#

#color(white)(d)=sqrt(4+1+81)=sqrt86~~9.27#