# Definition:Right-Hand Rule/Axial Vector

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## Definition

Let $\mathbf V$ be an axial vector acting with respect to an axis of rotation $R$.

Consider a right hand with its fingers curled round $R$ so that the fingers are pointed in the direction of rotation of $\mathbf V$ around $R$.

The **right-hand rule** is the convention that the direction of $\mathbf V$ is the direction in which the thumb is pointing:

## Also known as

The **right-hand rule** for axial vectors is also known as the **right-hand screw rule**.

This is because it defines the direction of motion of a conventional screw: turn it in a clockwise direction and it screws in.

## Sources

- 1951: B. Hague:
*An Introduction to Vector Analysis*(5th ed.) ... (previous) ... (next): Chapter $\text I$: Definitions. Elements of Vector Algebra: $2$. Graphical Representation of Vectors - 1957: D.E. Rutherford:
*Vector Methods*(9th ed.) ... (previous) ... (next): Chapter $\text I$: Vector Algebra: $\S 3$