# What is the distance between #(-7,5,6)# and #(-1,4,3)#?

##### 1 Answer

May 31, 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)=(-7,5,6)#

#"and "(x_2,y_2,z_2)=(-1,4,3)#

#d=sqrt((-1+7)^2+(4-5)^2+(3-6)^2)#

#color(white)(d)=sqrt(6^2+(-1)^2+(-3)^2)#

#color(white)(d)=sqrt(36+1+9)=sqrt46~~6.78#