If three vectors satisfy the relation \( \overrightarrow{\mathrm{A}...

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If three vectors satisfy the relation \( \overrightarrow{\mathrm{A}} \cdot \overrightarrow{\mathrm{B}}=0 \) and \( \vec{A} \cdot \vec{C}=0 \), then \( \vec{A} \) can be parallel to
(1) \( \overrightarrow{\mathrm{C}} \)
(2) \( \vec{B} \)
(3) \( \overrightarrow{\mathrm{B}} \times \overrightarrow{\mathrm{C}} \)
(4) \( \vec{B} \cdot \vec{C} \)
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