Distance between Two PointsDate: 08/03/99 at 01:37:26 From: Mike Nazzal Subject: Distance in a 3d plane I am trying to find an equation to measure the distance between 2 points on a 3D plane such as: point A = (2,3,-4) point B = (-2,8,13) Thank you. Date: 08/03/99 at 12:18:51 From: Doctor Peterson Subject: Re: Distance in a 3d plane Hi, Mike. Your question really doesn't involve a plane, just the distance between two points. If you graph these two points, you can picture each one being at the corner of a box, like this: B +------------------+ / x=-2 /| / / | / / + /y=3 / / C Z / / / | / / / | / x=2 / /y=8 +---- Y +------------------+ / / | z=13 | / / | |/ X +------------------+ A z=-4 Now, how can you find the length of the diagonal from A to B? Try using the Pythagorean theorem twice: first to find the length of the diagonal from A to C, and then using that to find the length of AB. You should be able to see a simple 3D distance formula. - Doctor Peterson, The Math Forum http://mathforum.org/dr.math/ |
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