Pseudovector
= Pseudovector
{title2=$\mathbf a'=(\det Q)Q\mathbf a$}
{wiki}
= Axial vector
{synonym}
An axial vector transforms as $\mathbf a'=(\det Q)Q\mathbf a$ under an <orthogonal matrix> $Q$. It agrees with a <polar vector> under a proper <rotation matrix> and has the additional determinant sign under an orientation-reversing transformation. <Angular momentum> and <angular velocity> are axial <vectors>.