question_answer

If \[(\vec{a}\times \vec{b})\times \vec{c}=\vec{a}\times (\vec{b}\times \vec{c}),\] where \[\vec{a},\,\vec{b}\] and \[\vec{c}\] are any three vectors such that \[\vec{a}.\vec{b}\ne 0,\vec{b}.\vec{c}\ne 0,\] then \[\vec{a}\] and \[\vec{c}\] are     AIEEE  Solved  Paper-2006

A) inclined at an angle of\[\frac{\pi }{6}\]between them b

B) perpendicular    

C)       parallel

D) inclined at an angle of\[\frac{\pi }{3}\]between them