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=\vec{l} (\vec{l}^T \vec{a})
=\vec{l} (\vec{l} \cdot \vec{a})
= (\vec{l} \vec{l}^T) \vec{a}
= \begin{bmatrix}l_x^2 & l_xl_y & l_xl_z \\ l_xl_y & l_y^2 & l_yl_z \\ l_zl_x & l_zl_y & l_z^2\end{bmatrix} \begin{pmatrix}a_x\\a_y\\a_z\end{pmatrix}
= (a_x l_x + a_y l_y + a_z l_z) \begin{pmatrix}l_x\\l_y\\l_z\end{pmatrix}