The magnetic field in front of the wire is in the direction of the index finger.
The right-hand rule is a well-known mnemonic in mathematics and physics for remembering the orientation of axes in three-dimensional space. The fact that the three axes of three-dimensional space can be oriented in one of two ways accounts for the majority of the different left-hand and right-hand rules.
According to the right-hand rule, you should point your right thumb toward the direction of the velocity (v), your index finger toward the direction of the magnetic field (B), and your middle finger toward the direction of the magnetic force that results from that.
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