Let →a, →b and →c be three unit vectors, out of which vectors →b and →c are non-parallel. If α and β are the angles which vector →a makes with vectors →b and →c respectively and →a×(→b×→c)=12→b, then |α−β| is equal to :

Let →a, →b and →c be three unit vectors, out of which vectors �

1.	Let →a, →b and →c be three unit vectors, out of which vectors →b and →c are non-parallel. If α and β are the angles which vector →a makes with vectors →b and →c respectively and →a×(→b×→c)=12→b, then \|α−β\| is equal to :
Answer» Let $\to a, \to b$ and $\to c$ be three unit vectors, out of which vectors $\to b$ and $\to c$ are non-parallel. If $α$ and $β$ are the angles which vector $\to a$ makes with vectors $\to b$ and $\to c$ respectively and $\to a \times (\to b \times \to c) = \frac{1}{2} \to b$ , then $\| α - β \|$ is equal to :