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MathGroup Archive 2001

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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




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