Question

Fleming left hand rule do all the vectors lie on the same plane

Answer 1

According to Fleming's left hand rule, if we arrange the thumb, the middle finger and the forefinger of the left hand at right angles to each other, then thumb points towards the direction of magnetic force, middle finger gives the direction of current and the forefinger points in the direction of magnetic field.

Answer 2

Fleming left hand rule for electric motors is one of a pair of visul mnemonics, the other being Fleming's right hand rule.
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