What is a hole and how does it relate to electricity?

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I would just like to point out the the Left Hand Rule is predicated upon the use of the direction of conventional current. It is the motor rule and will give the correct direction for force or motion only when the direction of the second finger is aligned with the direction of conventional current.

The Right Hand Rule is the generator rule and gives correct (voltage) polarity, regardless of charge carriers because it defines a voltage, not a current.

When considering the vector cross products the right hand rule should be used in any case.