The unit vectors that define a coordinate system have the following properties relative to the cross product: \[\begin{aligned} \vec x \times \vec y &= \vec z\\ \vec y \times \vec z &= \vec x\\ \vec z...The unit vectors that define a coordinate system have the following properties relative to the cross product: →x×→y=→z→y×→z=→x→z×→x=→y For these properties to be correct, it should be noted that the direction of the z axis in three dimensions is specified by the choice of x and y axes.
