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.

2025年1月17日 · (b) The right-hand rule is used to determine the placement of the coordinate axes in the standard Cartesian plane. In two dimensions, we describe a point in the plane with the coordinates \((x,y)\). Each coordinate describes how the point aligns with the corresponding axis.

2024年10月17日 · The direction of the cross product vector A x B is given by the right-hand rule for the cross product of two vectors. To apply this right-hand rule, extend the fingers of your right hand so that they are pointing directly away from your right elbow.

The direction of the cross product vector A x B is given by the right-hand rule for the cross product of two vectors. To apply this right-hand rule, extend the fingers of your right hand so that they are pointing directly away from your right elbow.

2024年11月24日 · The Right-Hand Rule is an easy way to find the direction of a cross product interaction before doing the math. For any equation involving a cross product, the right hand rule is a valuable tool for finding the direction.

The corkscrew right-hand rule is a common mnemonic used to determine the direction of the vector product. As shown in Figure \(\PageIndex{2}\), a corkscrew is placed in a direction perpendicular to the plane that contains vectors \(\vec{A}\) and \(\vec{B}\), and its handle is turned in the direction from the first to the second vector in the ...

2025年1月31日 · The right-hand rule states that the orientation of the vectors' cross product is determined by placing u and v tail-to-tail, flattening the right hand, extending it in the direction of u, and then curling the fingers in the direction that the angle v makes with u.

The right-hand rule is a mnemonic used to determine the direction of a vector resulting from the cross product of two other vectors in three-dimensional space.

The right hand rule is a visualization technique used to determine the correct direction of a vector resulting from vector cross-product multiplication. It is based on the following sign convention for an XYZ coordinate system, as shown below.

In mechanics: Vectors B is given by the right-hand rule: if the fingers of the right hand are made to rotate from A through θ to B , the thumb points in the direction of A × B , as shown in Figure 1D.