JEE Advanced Mathematics question

MathematicsVector AlgebraJEE Advanced

If are three noncoplanar vectors represented by concurrent edges of a parallelepiped of volume 4 then

(+)·(×) + (+)·(×) + (+)·(×)

is equal to

Answer: (C)

Solution

Terms with a repeated vector vanish ( etc.), so the value is

[\ \ ] + [\ \ ] + [\ \ ] = 3[\

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Question ID VK-109663