What is the formula for distance between 2 points

[Guest]

What is the formula for finding the distance between two points?

[Guest]

Square root of (x2-x1)^2 + (y2-y1)^2 is the formula

Source : http://www.math10.com/en/geometry/analy ... metry.html

[Guest]

the previous reply is for 2D. In case of 1D you just have x2-x1 and in 3D :
sqrt((x2-x1)^2+(y2-y1)^2+(z2-z1)^2)

[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}+(z2-z1)^{2}}[/tex]

so, more generaly, in a n dimensional space that euclidian distance is expressed as :
sqrt(sum((xi2-xi1)^2,i=1..n))

[tex]\sqrt(\sum_{i=1}^{n}(x_{i}2-x_{i}1)^2)[/tex]

this is a way to look at distances... not the only one though, in our daily lives, in an euclidian space...