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?

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?

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)