A) \[4\sqrt{3}\]
B) \[6\sqrt{3}\]
C) \[12\sqrt{3}\]
D) \[18\sqrt{3}\]
E) \[8\sqrt{3}\]
Correct Answer: C
Solution :
\[\because \]\[[\overrightarrow{a}\,\,\overrightarrow{b}\,\,\overrightarrow{c}]=\overrightarrow{a}.(\overrightarrow{b}\times \overrightarrow{c})\] \[=\overrightarrow{a}.\left( |\overrightarrow{b}|\overrightarrow{c}|\sin \frac{2\pi }{3}\hat{n} \right)\] \[=|\overrightarrow{a}|.|\overrightarrow{b}||\overrightarrow{c}|\left( \sin \frac{2\pi }{3} \right)=2\times 3\times 4\times \frac{\sqrt{3}}{2}\] \[=12\sqrt{3}\]You need to login to perform this action.
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