${\vec  A }$, ${\vec  B }$ and ${\vec  C }$ are three non-collinear, non co-planar vectors. What can you say about directin of $\vec  A \, \times \,\left( {\vec  B \, \times \vec  {\,C} } \right)$ ?

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The direction of $(\vec{B} \times \vec{C})$ will be perpendicular to the plane containing $\vec{B}$ and $\vec{C}$. $\vec{A} \times(\vec{B} \times \vec{C})$ will lie in the plane of $\vec{B}$ and $\vec{C}$ and is perpendicular to $\vec{A}$.

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