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

1. ## 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?

2. ## Re: Getting the volume of a parallelepiped defind by 3 R^4 Vectors

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?

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

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!!