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})

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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