# What is the distance between #(3, –1, 1) # and #(0, 4, –2) #?

##### 1 Answer

Mar 31, 2018

#### Explanation:

#"using the 3 dimensional form 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)=(3,-1,1)#

#"and "(x_2,y_2,z_2)=(0,4,-2)#

#d=sqrt((0-3)^2+(4+1)^2+(-2-1)^2)#

#color(white)(d)=sqrt(9+25+9)=sqrt43~~6.557#