Why are Lucentio and Hortensio fighting in this first scene? What impressions do you get about each character from their interactions?

Lucentio and Hortensio, disguised respectively as Cambio and Litio, are competing for Bianca's attention. In this scene, the audience is shown Lucentio's acting abilities as Cambio. It is appropriate that Lucentio has disguised himself as a scholar, for he originally claimed to come to Padua to pursue education. Just as Tranio uses lofty language to contribute to the illusion of nobility, Lucentio uses lofty Latin words to sneak in the truth of his pursuit of Bianca. Thus the tension between superficial education and below-the-surface desire continues.