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If \( \overrightarrow a = \hat i - 2\hat j + 3\hat k \: and \: \overrightarrow b = -2\hat i + 3\hat j - 4\hat k \: and \: \overrightarrow c = \hat i - 3\hat j - \lambda \hat k \) are coplanar if \( \lambda = 5.\)

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