question_answer

If \[\vec{a}=5\,\vec{i}-\vec{j}+\vec{k}\,;\vec{b}=2\hat{i}-3\hat{j}-\hat{k}\,;\,\vec{c}=-3\hat{i}+\hat{j}+\hat{k}\]and \[\vec{d}=2\vec{j}+\vec{k}\], then the value of \[\vec{d}.\left( \vec{a}\times \left\{ \vec{b}\times (\vec{c}\times \vec{d}) \right\} \right)\] equals

A)  98                               

B)  99

C)  100                             

D)  102