Question
If \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \) are unit vectors such that
\( (\ve....
Question
If \( \vec{a}, \vec{b}, \vec{c} \) and \( \vec{d} \) are unit vectors such that
\( \mathrm{P} \)
\( (\vec{a} \times \vec{b}) \cdot(\vec{c} \times \vec{d})=1 \) and \( \vec{a} \cdot \vec{c}=\frac{1}{2} \), then
(1) \( \vec{a}, \vec{b}, \vec{c} \) are non-coplanar
(2) \( \vec{b}, \vec{c}, \vec{d} \) are non-coplanar
(3) \( \vec{b}, \vec{d} \) are non-parallel
(4) \( \vec{a}, \vec{d} \) are parallel and \( \vec{b}, \vec{c} \) are parallel
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