In mathematics, a rotating field is usually represented by a pseudovector along the axis of rotation. The length of the vector indicates the speed of rotation and the direction of the axis indicates the direction of rotation according to the rule of the right: right finger wound in the direction of rotation and the right thumb points in the positive direction of the axis. This allows some simple calculations with the cross vector product. No part of the body moves in the direction of the axis arrow. Coincidentally, when the thumb points north, the earth rotates in a prograde direction according to the correct rule. This causes the sun, moon and stars to appear to rotate westward according to the left-hand ruler. The direction of the magnetic field can also be defined by the corkscrew rule, which states: “When a right-handed screw rotates in a cap, the movement of the tip of the screw (bore) indicates the direction of the current, while the rotation of the screw indicates the magnetic field lines. Please check the figure of Maxwell`s right handle ruler for the enveloping wound If we consider the current flow as the movement of the positive charge carriers (conventional current) in the image above, we notice that the conventional current moves upside down. Since a conventional current consists of positive charges, the same live wire can also be described as a current with negative charge carriers moving to the side. Although these currents move in opposite directions, only one magnetic force acting on the wire is observed. Therefore, the force occurs in the same direction, whether we look at the flow of positive or negative charge carriers in the image above. The application of the legal rule to the direction of the conventional current indicates the direction of the magnetic force to be directed to the right.

If we consider the flow of negative charge carriers in the image above, the ruler on the right indicates the direction of the force that should be on the left; However, the negative sign reverses the result and indicates that the direction of the magnetic force is pointing to the right. For right-handed coordinates, the right thumb points along the z-axis in the positive direction and the finger curvature represents the movement of the first or x-axis to the second or y-axis. Viewed from the top or z-axis, the system is counterclockwise. In vector calculus, it is often necessary to relate the normal to a surface with the curve limiting it. For a positively oriented curve C delimiting a surface S, the perpendicular to the surface is defined in such a way that the right thumb points in the direction of n̂ and the fingers curl along the orientation of the boundary curve C. The threads of a screw are a propeller and therefore the screws can be right or left. The rule is: if a screw is right-handed (most screws are), point your right thumb in the direction you want the screw to go and turn the screw towards your crimped straight fingers. A propeller is a curved line formed by a point that rotates around a center point as the center moves up or down the z-axis.

Propellers are right-handed or left-handed crimped fingers that indicate the direction of rotation and thumbs that indicate the direction of power along the z-axis. To apply the right hand ruler to crossed products, align your fingers and thumb at right angles. Then point your index finger in the direction of vector a and the middle finger in the direction of vector b. Your right thumb points in the direction of the vector product, a x b (vector c). Most of the different left and right rules result from the fact that the three axes of three-dimensional space have two possible orientations. You can see this by holding your hands outward and together, palms up, curling your fingers and extending your thumb. If the curvature of the fingers represents the movement of the first or x-axis to the second or y-axis, the third or z-axis may point along an inch. When it comes to coordinate axes, left-handed and right-handed rulers are created. The ruler can be used to find magnetic field direction, rotation, spirals, electromagnetic fields, mirror images, and enantiomers in mathematics and chemistry. The exchange of labels on two axes reverses the hand. Reversing the direction of one (or all three axes) also reverses the hand. (If the axes have no positive or negative direction, maneuverability is meaningless.) The inverse of two axes corresponds to a rotation of 180° about the remaining axis.

[1] While a magnetic field can be induced by a current, a current can also be induced by a magnetic field. We can use the second rule of the right grip, sometimes called the rule of the right grip, to determine the direction of the magnetic field generated by a current.