In physics, the angular velocity tensor is defined as Physics (Greek: (phúsis), nature and (phusiké), knowledge of nature) is the science concerned with the fundamental laws of the universe. ...

It has the important property that when the cross product For the crossed product in algebra and functional analysis, see crossed product. ...

is written with the matrix multiplication (A is a orientation matrix), this matrix is a skew-symmetric matrix with zeros on the main diagonal and plus and minus the components of the angular velocity as the other elements, In linear algebra, a skew-symmetric (or antisymmetric) matrix is a square matrix A whose transpose is also its negative; that is, it satisfies the equation: AT = −A or in component form, if A = (aij): aij = − aji   for all i and j. ...

See also

• Angular velocity
• Rigid body dynamics