12th Class
Mathematics
Sample Paper
Maths Olympiad Model Test Paper-11
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 _______.