The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors a^{\^},b^{\^},c^{\^} such that a^{\^}.b^{\^} = b^{\^}.c^{\^} = c^{\^}.a^{\^} = 1/2. Then the volume of the parallelopiped is [JEE Adv 2008 P1]

Vector Algebra

Section: Mathematics

Question : 38 of 38

Marks: +1, -0

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors

such that

= 1/2. Then the volume of the parallelopiped is

[JEE Adv 2008 P1]

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