If \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) are three non-...

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If \( \mathrm{a}, \mathrm{b} \) and \( \mathrm{c} \) are three non-coplanar uni-modular
\( \mathrm{P} \) vectors, each inclined with other at an angle \( 30^{\circ} \),

W then volume of tetrahedron whose edges are \( a \), b and \( \mathrm{c} \) is
(1) \( \frac{\sqrt{3 \sqrt{3}-5}}{12} \)
(2) \( \frac{3 \sqrt{3}-5}{12} \)
(3) \( \frac{5 \sqrt{2}+3}{12} \)
(4) None of these
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