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A nucleus moving with velocity \( \vec{v} \) emits an \( \alpha \)-particle. Let the velocities of the \( \alpha \)-particle and the remaining nucleus be \( \vec{v}_{1} \) and \( \vec{v}_{2} \) and their masses be \( m_{1} \) and \( m_{2} \), then
(1) \( \vec{v}, \vec{v}_{1} \), and \( \vec{v}_{2} \) must be parallel to each other
(2) none of the two of \( \vec{v}, \vec{v}_{1} \), and \( \vec{v}_{2} \) should be parallel to each other
(3) \( \vec{v}_{1}+\vec{v}_{2} \) must be parallel to \( \vec{v} \)
(4) \( m_{1} \vec{v}_{1}+m_{2} \vec{v}_{2} \) must be parallel to \( \vec{v} \)
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