Fleming's Left Hand Rule is used to determine the direction of motion in DC motors when current flows through a conductor, while the Right Hand Rule is applied for AC motors to predict the direction of induced current. The Left Hand Rule involves extending the thumb, forefinger, and middle finger to represent the direction of current, magnetic field, and force, respectively. Some users prefer the Grip Rule, which simplifies the process by focusing on the interaction between current and magnetic fields without needing to differentiate between left and right hand rules. The Grip Rule can also be used to determine the position of a permanent magnet based on motion. Overall, the discussion highlights various methods to apply these rules effectively in practical scenarios.