Require derivation for the intersection of three planes
- To: mathgroup at smc.vnet.net
- Subject: [mg31082] Require derivation for the intersection of three planes
- From: Kiran Aware <awarekh at email.uc.edu>
- Date: Sun, 7 Oct 2001 03:11:50 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
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