What is the distance between #(–6, 3, 1) # and #(2, –3, 1) #?

1 Answer
Apr 18, 2017

Answer:

#10" units"#

Explanation:

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

#color(red)(bar(ul(|color(white)(2/2)color(black)(d=sqrt((x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2)color(white)(2/2)|)))#
where # (x_1,y_1,z_1),(x_2,y_2,z_2)" are 2 coordinate points"#

#"the 2 points here are " (-6,3,1)" and " (2,-3,1)#

#"let " (x_1,y_1,z_1)=(-6,3,1), (x_2,y_2,z_2)=(2,-3,1)#

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

#color(white)(d)=sqrt(64+36+0)#

#color(white)(d)=sqrt100=10" units"#