How do bow legs affect my athletic abilities like running and jumping. i play basketball and have vigorous leg workouts.

A sport like running is a repetitive sport. Taking the same step after step for miles. Biomechanics, how anatomy functions, is very important along with running shoes. Any biomechanical problems ( malalignment) are propagated with each step taken through the course and length of your run. Runners that are the most successful are usually well conditioned and biomechanically sound.