question_answer

Directions: Question No. 75 are based on the following paragraph. Let \[\overrightarrow{a},\overrightarrow{b}\]and \[\overrightarrow{c}\]be three vectors such that \[|\overrightarrow{a}|=|\overrightarrow{b}|=|\overrightarrow{c}|=4\]and angel between \[\overrightarrow{a}\]and \[\overrightarrow{b}\]is \[\frac{\pi }{3}\]and angel between \[\overrightarrow{b}\]and \[\overrightarrow{c}\]is \[\frac{\pi }{3}\]and angle between \[\overrightarrow{c}\]and \[\overrightarrow{a}\]is \[\frac{\pi }{3}\] The volume of the  parallelepiped whose adjacent edges are represented by the vectors \[\overrightarrow{a},\overrightarrow{b}\] and \[\overrightarrow{c}\] is                                     

A)  \[24\sqrt{3}\]                  

B)  \[32\sqrt{3}\]

C)  \[24\sqrt{2}\]                  

D)  \[32\sqrt{2}\]