In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying conductor in a magnetic field.

We use the right-hand rule when we have two of the axes and need to find the direction of the third. This is called a right-orthogonal system. The ‘ orthogonal’ part means that the three axes are all perpendicular to each other, and the’ right’ part means that ^i – × ^j – = ^k –– i ^ _ × j ^ _ = k ^ _, hence the right hand rule.

Right-Hand Rule #1 determines the directions of magnetic force, conventional current and the magnetic field. Given any two of theses, the third can be found. point your index finger in the direction of the charge's velocity, v, (recall conventional current). Your thumb now points in the direction of the magnetic force, F magnetic.

In three-dimensions a moment vector may point in any direction in space and is more difficult to visualize. The direction is established by the right hand rule. To apply the right hand rule, first establish a position vector r. r. pointing from the rotation center to the point of application of the force, or another point on its line of action.

Greenslade1 has described the evolution of the modern right-hand rule from a number of mnemonic devices that originated shortly after Oersted’s discov-ery in 1820 of the force exerted on a compass needle by a current-carrying wire.

Right-hand Rule (RHR): There are many ways in which you can create a 3D coordinate system but the two most common are the LHR and the RHR as shown in the figure below. To visualize this, create a 3D system using your thumb (x-axis), index finger (y …

This version either uses a 3D model (the shape in the video at right) or a 'double-L' shape piece of paper (the shape in the diagram at left) to illustrate the right hand rule. The 'double-L' shape shown in the the diagram at left is something you can …

2025年3月5日 · The right-hand rule states that the orientation of the vectors' cross product is determined by placing and tail-to-tail, flattening the right hand, extending it in the direction of , and then curling the fingers in the direction that the angle makes with . …

2018年3月12日 · The Right hand rule (RHR) is not intuitive for me, are there any other ways to orient 3 positive axes in 3d space? I'm currently working with magnetic fields but I've always had trouble with RHR.

To determine the correct direction for this vector, you can use the right-hand rule. However, as shown in the example above, if you are calculating this vector directly using cross-product multiplication (i.e. Mo = r × Fp), then you do not need to apply the …