JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

The three concurrent edges of a parallelepiped represent the vectors such that . Then the volume of the parallelepiped whose three concurrent edges are the three concurrent diagonals of three faces of the given parallelepiped is

Answer: (A)

Solution

The face diagonals through the common vertex are , , . Required volume \vec{b}\vec{c}\vec{c}\vec{a}\vec{a}\vec{b}$]

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Question ID VK-109670