       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

> 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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