The edges of a parallelepiped are of unit length and \( \mathrm{P} ...

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The edges of a parallelepiped are of unit length and
\( \mathrm{P} \)
W are parallel to non-coplanar unit vectors \( a, b, c \) such that \( \hat{a} \hat{b}=\hat{b} \cdot \hat{c}=\hat{c} \cdot \hat{a}=\frac{1}{2} \). Then the volume of the parallelepiped in cubic units, is
(1) \( \frac{1}{\sqrt{2}} \)
(2) \( \frac{1}{2 \sqrt{2}} \)
(3) \( \frac{\sqrt{3}}{2} \)
(4) \( \frac{1}{\sqrt{3}} \)
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