If $$\overrightarrow{a} ,\overrightarrow{b} , \overrightarrow{c}$$ are mutually perpendicular vectors of equal magnitudes, show that the vector $$\overrightarrow{a} + \overrightarrow{b} + \overrightarrow{c}$$ is equally inclined to $$\overrightarrow{a}, \overrightarrow{b} and \overrightarrow{c}$$ .

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