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If $\vec{a}$ and $\vec{b}$ are perpendicular vectors, then $\vec{a} \times (\vec{a} \times (\vec{a} \times (\vec{a} \times \vec{b})))$ is equal to
(1) $\frac{1}{2}|\vec{a}|^4 \vec{b}$
(2) $\vec{a} \times \vec{b}$
(3) $|\vec{a}|^4 \vec{b}$
(4) $\vec{0}$
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