Fleming’s left and Right hand rule

1. The problem statement, all variables and given/known data
Not a Home-work problem,just a doubt.Since this is a school doubt,I will post here.

Fleming’s left and right hand rule
Why do we use two hands for the same thing?Can’t we just use one hand?
Why is it different?
I have tried searching Google but could not get an answer.

For example,Magnetic field direction is to right.Current is moving into the Monitor(Cross)
Applying the left hand rule,wire will move up.
Applying right hand rule,wire will move down.
What’s the difference?They are both the same thing,isn’t it?

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