# Getting the volume of a parallelepiped defind by 3 R^4 Vectors

• Dec 31st 2011, 02:53 AM
ahmedzoro10
Getting the volume of a parallelepiped defind by 3 R^4 Vectors
I've a parallelepiped defined by Three R4 Vectors A,B and C and I'm trying to get it's volume

A= [3,0,-4,0]
B= [0,2,0,-2]
C= [0,1,0,1]

Can anybody help?
• Dec 31st 2011, 04:11 AM
ILikeSerena
Re: Getting the volume of a parallelepiped defind by 3 R^4 Vectors
Quote:

Originally Posted by ahmedzoro10
I've a parallelepiped defined by Three R4 Vectors A,B and C and I'm trying to get it's volume

A= [3,0,-4,0]
B= [0,2,0,-2]
C= [0,1,0,1]

Can anybody help?

Hi ahmedzoro10!

Do you have a formula to calculate the volume of a 3-dimensional parallelepiped in 4 dimensions?
Perhaps the Gram determinant?
• Dec 31st 2011, 05:55 AM
ahmedzoro10
Re: Getting the volume of a parallelepiped defind by 3 R^4 Vectors
Quote:

Originally Posted by ILikeSerena
Hi ahmedzoro10!

Do you have a formula to calculate the volume of a 3-dimensional parallelepiped in 4 dimensions?
Perhaps the Gram determinant?

oh yea!!(Lipssealed)