A charged particle with charge \( q \) enters a region of constant,...

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A charged particle with charge \( q \) enters a region of constant, uniform and mutually orthogonal fields \( \vec{E} \) and \( \vec{B} \) with a velocity \( \vec{v} \) perpendicular to both \( \vec{E} \) and \( \vec{B} \), and comes out without any change in magnitude or direction of \( \vec{v} \). Then
(1) \( \vec{v}=\vec{E} \times \vec{B} / B^{2} \)
(2) \( \vec{v}=\vec{B} \times \vec{E} / B^{2} \)
(3) \( \vec{v}=\vec{E} \times \vec{B} / E^{2} \)
(4) \( \vec{v}=\vec{B} \times \vec{E} / E^{2} \)
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