question_answer

The number of distinct real values of X, for which the vectors \[-{{\lambda }^{2}}\hat{i}+\hat{j}+\hat{k},\hat{i}-{{\lambda }^{2}}\hat{j}+\hat{k}\]and \[\hat{i}+\hat{j}-{{\lambda }^{2}}\hat{k}\]are coplanar, is

Answer:

2