What does it mean to divide by a vector? What does the expression mean?
Solutions aren't given, so I kindly ask for a recheck.Vectors ( ) make up tetrahedron with volume . What's the volume of a tetrahedron made up of vectors ?
Isn't the volume of the second tetrahedron too large?
Let refer to the scalar triple product so that the volume of the tetrahedron is .
Volume of new tetrahedron is .
As is well known, .
Hence as claimed. Although it came close, the method shown by courteous was ultimately incorrect -- that answer is right for the wrong reasons.