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Question

Mathematics Question on Vector Algebra

n^\hat{n} is a vector , a0,b0.\vec{a}≠0,\vec{b}≠0. If nc,a=αbn^\vec{n}⊥\vec{c},\vec{a}=\alpha\vec{b}-\hat{n} and b.c\vec{b}.\vec{c} = 12 then the value of c×(a×b)|\vec{c}\times(\vec{a}\times\vec{b})| equals ( where n^\hat{n} represents unit vector in the direction of n\vec{n} )

A

144

B

12\sqrt{12}

C

12

D

24

Answer

12

Explanation

Solution

The correct answer is (C) : 12