SOLUTION: I'm trying to prove the distance formula for the distance between two points in 3 space. I know in 2-dimensional space how to go about this, but how do I expand it to 3-dimensions

SOLUTION: I'm trying to prove the distance formula for the distance between two points in 3 space. I know in 2-dimensional space how to go about this, but how do I expand it to 3-dimensions

Algebra.Com

Question 149643: I'm trying to prove the distance formula for the distance between two points in 3 space. I know in 2-dimensional space how to go about this, but how do I expand it to 3-dimensions? Do I need to go through the Pythagorean theorem twice? Any nudge in the right direction would be most appreciated.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
nudge --> http://www.easycalculation.com/analytical/learn-distance3.php
RELATED QUESTIONS
An equilateral triangle has 2 verticles at (0,-1) and (0,5) Find all possibilities for... (answered by stanbon)

I am struggling with a distance formula problem that has radicands in the points. I am ok (answered by Alan3354)

A and B are two points on a sphere of radius 2. We know the space distance between A and... (answered by Edwin McCravy,greenestamps)

Any help is much Appreciated!!!! Although this is an albera site, i have calculus... (answered by Alan3354)

(π,0),(π/2,1) finding the distance between two points. I don't understand how... (answered by mathstutor494)

I would like to know how to get the angle, while I know three points in three dimensional (answered by scott8148)

Hi! Can you help me please? The problem is use the coordinate plane to estimate the... (answered by solver91311)

Anyone have any ideas what this stuff is talking about? I'm lost, I need helppppp.... (answered by venugopalramana)

find the midpoint and the distance between the two points E(5,6,-3) and F (-2,5,-7) in... (answered by Fombitz)