This is what I term as limb dominance. The co-ordination and stability in the dominant limb means that around the ankle, knee and hip in the lower limbs and wrist, elbow and shoulder in the upper body illicit better performance as simple levers from the mid joint (elbows and knees). The flexors and extensors are surrounded by better and in some cases overdeveloped supporting structures. The biceps and triceps in the upper body, quads and hamstrings respectively in the lower body. 

Because of this the hub or powerhouse of the limbs, the hip and shoulder joint do less work making the ‘limb’ dominant. The weaker none dominant side utilises the strength of the torso and has a better supporting joint at the shoulder and hip. Therefore over time as an example a chest press will use the chest more to press on the non dominant side and the lats to stabilise more. On the dominant side the shoulder would be unstable, as the lats wouldn’t stabilise and the press is performed more with the anterior Delt and tricep.