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Quaternion Vector Theory:

The currents have vector direction I and -I; II= - Minus scalar sign indicates attraction; I(-I) = + Positive scalar sign indicates Repulsion. Thus parallel lines with current in the same direction bow-n; parallel lines with opposite currents bow-out.

This result can be reasoned in the first case that the magnetic field created by the currents is reduced between the wires (opposite flow) and increased outside the wires and thus the wires are pushed inward. In the second case the field is increased (same flow) between the wires and the wires are pushed out.

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Q: What theory does the experiment of force between two parallel currents work?
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