The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit…
Mathematics · JEE Advanced · NTA Exams — Vector Algebra
The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors \(\hat{a}, \hat{b}, \hat{c}\) such that
\(\hat{a} \cdot \hat{b}=\hat{b} \cdot \hat{c}=\hat{c} \cdot \hat{a}=\frac{1}{2} .\) Then, the volume of the parallelopiped is
\(\hat{a} \cdot \hat{b}=\hat{b} \cdot \hat{c}=\hat{c} \cdot \hat{a}=\frac{1}{2} .\) Then, the volume of the parallelopiped is
Answer
(D)
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