Expressing the cross product by using polar decomposition in 3-space

The cross product of two vectors aand bin 3-space can be given as a product Sab,where Sais a matrix that depends only on a.On this basis,we explored the relationship between vector cross product and matrix polar decomposition;moreover showed that this result is a natural consequence of thepolar decompositionof the matrix Sa,and the polar decomposition is unique.Finally,apersuasive geometric interpretation of Theorem 1was given by using Rodriguez...