Let a - b - c - be three non-coplanar vectors such that a - b - c -24 and a - b -6- Then the height the parallelopiped formedby a - b - c - with a - and b - as two adjacent edges of the base- is

Given nbsp;a #8594; #160;b #8594; #160;c #8594;=24 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp;a #8594; #215;b #8594;=6 whe ...

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Volume of a Prism

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Let $\vec{a}, \vec{b}, \vec{c}$ be three non-coplanar vectors such that $[\vec{a} \vec{b} \vec{c}] = 24 and |\vec{a} \times \vec{b}| = 6 .$ Then the height the parallelopiped formed by $\vec{a}, \vec{b}, \vec{c} with \vec{a} and \vec{b}$ as two adjacent edges of the base, is ____________.

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	Column - I		Column - II
(A)	If $\to a, \to b, \to c$ represents adjacent edges of parallelopiped then its volume is	(p)	$\frac{2 \sqrt{2}}{\sqrt{3}}$
(B)	If $\to a, \to b, \to c$ represents adjacent edges of parallelopiped then its height is	(q)	$\frac{2 \sqrt{2}}{3}$
(C)	If $\to a, \to b, \to c$ represents adjacent edges of tetrahedron then its volume is	(r)	$4 \sqrt{2}$
(D)	If $\to a, \to b, \to c$ represents adjacent edges of tetrahedron then its height is	(s)	$\sqrt{\frac{2}{3}}$