If \( \vec{x} \cdot \vec{a}=0, \vec{x} \cdot \vec{b}=0 \) and \( \vec{x} \cdot \vec{c}=0 \) for ...
If \( \vec{x} \cdot \vec{a}=0, \vec{x} \cdot \vec{b}=0 \) and \( \vec{x} \cdot \vec{c}=0 \) for some non-zero vector \( \vec{x} \), then prove that \( [\vec{a} \vec{b} \vec{c}]=0 \).
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