Vector Algebra

If the volume of tetrahedron, whose vertices are 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 cubic units, then value of \(\lambda\) is