Let u 1 , u 2 , u 3 {\displaystyle {}u_{1},u_{2},u_{3}} be an orthonormal basis of R 3 {\displaystyle {}\mathbb {R} ^{3}} with
cross product x × y {\displaystyle {}x\times y} can be computed with the coordinates of x {\displaystyle {}x} and y {\displaystyle {}y} with respect to this basis (and the formula from