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= \begin{pmatrix} a_y b_z - a_z b_y \\ a_z b_x - a_x b_z \\ a_x b_y - a_y b_x \end{pmatrix}
\vec{a} \times \vec{b}
= ([1] - \vec{l} \vec{l}^T) \vec{a}
= \vec{a} - (\vec{l} \vec{l}^T) \vec{a}
\vec{a} - (\vec{a} \cdot \vec{l}) \vec{l}