# What is the distance between #(-1,4,-4)# and #(13,15,-2)#?

##### 2 Answers

Jan 7, 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)=(-1,4,-4)#

#"and "(x_2,y_2,z_2)=(13,15,-2)#

#d=sqrt((13+1)^2+(15-4)^2+(-2+4)^2)#

#color(white)(d)=sqrt(196+121+4)#

#color(white)(d)=sqrt321~~17.92" to 2 dec. places"#

Jan 7, 2018

Giving an understanding to 3D pythagerous

#### Explanation:

The distance formula is just this adapted...