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\mathbf{v} imes \mathbf{a} = egin{vmatrix}
\end{vmatrix} = \mathbf{i}(y \cdot 3 - z \cdot 2) - \mathbf{j}(x \cdot 3 - z \cdot 1) + \mathbf{k}(x \cdot 2 - y \cdot 1)
= egin{pmatrix} 3y - 2z \ - (3x - z) \ 2x - y \end{pmatrix} = egin{pmatrix} 3y - 2z \ -3x + z \ 2x - y \end{pmatrix}

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