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

    \[\overrightarrow{c}\]

.