Question

What is the distance in space between the points with coordinates (-3,6,7) and (2,-1,4) ?

Answer 1

$A(-3;\ 6;\ 7);\ B(2;-1;\ 4)\\\\|AB|=\sqrt{(2-(-3))^2+(-1-6)^2+(4-7)^2}\\\\=\sqrt{5^2+(-7)^2+(-3)^2}=\sqrt{25+49+9}=\sqrt{83}$