What is the distance between #(-7,12,-10)# and #(2,-3,-16)#?
1 Answer
Apr 1, 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)=(-7,12,-10)#
#"and "(x_2,y_2,z_2)=(2,-3,-16)#
#d=sqrt((2+7)^2+(-3-12)^2+(-16+10)^2#
#color(white)(d)=sqrt(81+25+36)=sqrt342~~18.493#