What is the approximate distance between the points #(-4, 5, 4)# and #(3, -7, -6)#?
1 Answer
May 18, 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)=(-4,5,4),(x_2,y_2,z_2)=(3,-7,-6)#
#d=sqrt((3+4)^2+(-7-5)^2+(-6-4)^2)#
#color(white)(d)=sqrt(7^2+(-12)^2+(-10)^2)#
#color(white)(d)=sqrt(49+144+100)=sqrt293~~17.12#
