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Question

Mathematics Question on Vector Algebra

If a\vec{a}, b\vec{b}, c\vec{c} are three non-zero vectors and n^\hat{n} is a unit vector perpendicular to c\vec{c} such that a\vec{a}=αb\alpha \vec{b}-n^\hat{n}, α0\alpha \neq 0 and b\vec{b} .c \vec{c}=12, then |c×(a×b)\vec{c} \times(\vec{a} \times \vec{b})| is equal to:

A

9

B

15

C

6

D

12

Answer

12

Explanation

Solution

The correct option is (D) : 12