question_answer

Let \[\vec{a}=\hat{i}-2\hat{j}+3\hat{k};\,\vec{b}=\hat{i}+\hat{j}-4\hat{k};\vec{c}=4\hat{i}-3\hat{j}+6\hat{k};\]\[\vec{d}=3\hat{i}-6\hat{j}-5\hat{k}\] then the value of \[\left( \vec{a}\times \vec{b} \right).\left( \vec{c}\times \vec{d} \right)\]is equal to

A)  214                             

B)  342

C)  392                             

D)  476