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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: [mg31085] RE: [mg31082] Require derivation for the intersection of three planes
  • From: "David Park" <djmp at earthlink.net>
  • Date: Tue, 9 Oct 2001 01:55:35 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Kiran,

If two of the planes are parallel there will be no intersection, or else the
planes will coincide. That's what the zero denominator means.

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/

> From: Kiran Aware [mailto:awarekh at email.uc.edu]
To: mathgroup at smc.vnet.net
>
> sir,
>
> After lots of efforts and trials i was unable to porve that the equation
> for the intersection of three planes is given by following equation.....
>
> r = {D1 ( U2 Cross U3) + D2 (U3 Cross U1) + D3(U1 Cross U2)} / U1 dot ( U2
> Cross U3)
>
> where r,U1,U2,U3 are all vectors  ( since i was unable to type bar sign
> over the alphabet)
>
> also where , the eqution of a plane is given as
>
> r dot U = D  where  U is normal vector ot the plane
>
> Also i am unable to explain the geometric meaning of a Zero denominator in
> the above equation
>
> Waiting to hear from you
>
> Regards
>
> Kiran
>
>
>



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