Show that the vector ((mathbf{a} times mathbf{b}) times(mathbf{c} times mathbf{d})) lies on the line of intersection of

Question:

Show that the vector $(\mathbf{a} \times \mathbf{b}) \times(\mathbf{c} \times \mathbf{d})$ lies on the line of intersection of the two planes: (1) the plane containing $\mathbf{a}$ and $\mathbf{b}$ and (2) the plane containing $\mathbf{c}$ and $\mathbf{d}$.

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