If \[\mathbf{a}\] is perpendicular to \[\mathbf{b}\]and \[\mathbf{c},|\mathbf{a}|=2,|\mathbf{b}|=3\], \[|\mathbf{c}|=4\] and the angle between \[\mathbf{b}\] and \[\mathbf{c}\]is \[\frac{2\pi }{3}\], then \[[\mathbf{a}\ \mathbf{b}\ \mathbf{c}]\] is equal to [Kerala (Engg.) 2005]

If \[\mathbf{a}\] is perpendicular to \[\mathbf{b}\]and \[\mathbf{c},|

1.	If \[\mathbf{a}\] is perpendicular to \[\mathbf{b}\]and \[\mathbf{c},\|\mathbf{a}\|=2,\|\mathbf{b}\|=3\], \[\|\mathbf{c}\|=4\] and the angle between \[\mathbf{b}\] and \[\mathbf{c}\]is \[\frac{2\pi }{3}\], then \[[\mathbf{a}\ \mathbf{b}\ \mathbf{c}]\] is equal to [Kerala (Engg.) 2005]
A.	\[4\sqrt{3}\]
B.	\[6\sqrt{3}\]
C.	\[12\sqrt{3}\]
D.	\[18\sqrt{3}\]
E.	\[8\sqrt{3}\]
Answer» D. \[18\sqrt{3}\]

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If \[\mathbf{a}\] is perpendicular to \[\mathbf{b}\]and \[\mathbf{c},|\mathbf{a}|=2,|\mathbf{b}|=3\], \[|\mathbf{c}|=4\] and the angle between \[\mathbf{b}\] and \[\mathbf{c}\]is \[\frac{2\pi }{3}\], then \[[\mathbf{a}\ \mathbf{b}\ \mathbf{c}]\] is equal to [Kerala (Engg.) 2005]

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