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The sum of the distinct real values of $\mu$, for which the vectors, $\mu \hat{i} + \hat{j} + \hat{k}$, $\hat{i} + \mu \hat{j} + \hat{k}$, $\hat{i} + \hat{j} + \mu \hat{k}$ are co-planar, is:
(1) $-1$
(2) $0$
(3) $1$
(4) $2$
BETA
