Find the equation of the plane passing through the point (1,1,1) and containing the line \( \overrightarrow r = (3\hat i + \hat j + 5\hat k) + \lambda (3\hat i - \hat j - 5\hat k)\). Also, show that the plane contains the line \( \overrightarrow r = (-\hat i + 2\hat j + 5\hat k) + \lambda (\hat i - 2\hat j - 5\hat k)\).

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