\( A, B, C \) and \( D \) have position vectors \( \vec{a}, \vec{b}... VIDEO
\( A, B, C \) and \( D \) have position vectors \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \), respectively, such that \( \vec{a}-\vec{b}=2(\vec{d}-\vec{c}) \). Then
(1) \( A B \) and \( C D \) bisect each other
(2) \( B D \) and \( A C \) bisect each other
\( \mathrm{P} \)
(3) \( A B \) and \( C D \) trisect each other
(4) \( B D \) and \( A C \) trisect each other
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