''vantage'' - reference to having a better ''vantage'' point, a more objective view.  But Polonius is hardly an unbiased observer.  He will merely be hearing from a different bias.

''vantage'' - reference to having a better ''vantage'' point, a more objective view.  But Polonius is hardly an unbiased observer.  He will merely be hearing from a different bias.

''Vantage'' could mean "profit" in those days, and Polonius is saying they will profit by his presence as a listener.  As so often in ''Hamlet,'' Shakespeare's word choice is fitting in more than one way.

''Vantage'' could mean "profit" in those days, and Polonius is saying they will profit by his presence as a listener.  As so often in ''Hamlet,'' Shakespeare's word choice is fitting in more than one way.  The idea of profit is in character for Polonius, who, for one thing, spoke in financial terms to Ophelia in Scene 3.