question_answer

The volume of the tetrahedron whose vertices are the points with position vectors \[\hat{i}-6\hat{j}+10\hat{k},\] \[-\hat{i}-3\hat{j}+7\hat{k},\] \[5\hat{i}-\hat{j}+\lambda \,\hat{k}\] and \[7\hat{i}-4\hat{j}+7\hat{k},\] is \[11\,cu.\]units, then the value of \[\lambda \] is _______.

A)  7    

B)  6

C)  \[-1\]                           

D)  3

E)  None of these