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MathGroup Archive 2001

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Re: Require derivation for the intersection of three planes

  • To: mathgroup at smc.vnet.net
  • Subject: [mg31095] Re: Require derivation for the intersection of three planes
  • From: gah at math.umd.edu (Garry Helzer)
  • Date: Tue, 9 Oct 2001 01:55:49 -0400 (EDT)
  • Organization: University of Maryland
  • References: <9pp17q$88p$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

A zero denominator indicates that the three normal vectors lie in a common
plane and hence that the three planes intersect not in a single point but
along an entire line (at least).

In article <9pp17q$88p$1 at smc.vnet.net>, Kiran Aware <awarekh at email.uc.edu>
wrote:


> 
> r = {D1 ( U2 Cross U3) + D2 (U3 Cross U1) + D3(U1 Cross U2)} / U1 dot ( U2
> Cross U3)
> 

> Also i am unable to explain the geometric meaning of a Zero denominator in
> the above equation


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