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#
