Final answer:
Dixie is experiencing romantic love according to Sternberg's triangular theory, which is characterized by passion and intimacy, but no commitment.
Step-by-step explanation:
According to Robert Sternberg's triangular theory of love, Dixie appears to be experiencing romantic love. This form of love is defined by the presence of both passion and intimacy, but without commitment. As Dixie feels happy, excited, and confident about her feelings with BJ, while they still maintain independent lives without a defined commitment, these emotions and circumstances are indicative of the passion and intimacy inherent in romantic love.