If $ \vec{a} $ is a vector perpendicular to both $ \vec{b} $ and $ \vec{c} $, then

Question

$ \vec{a} \cdot (\vec{b} \times \vec{c}) = 0 $

$ \vec{a} \times (\vec{b} \times \vec{c}) = \vec{0} $

$ \vec{a} \times (\vec{b} + \vec{c}) = \vec{0} $

$ \vec{a} + (\vec{b} + \vec{c}) = \vec{0} $

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