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The number of distinct real values of $$\lambda$$, 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
zero
one
two
three
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