Definition:Scalar Division/Vector Quantity

Definition

Let $\mathbf a$ be a vector quantity.

Let $m$ be a scalar quantity.

The operation of scalar division by $m$ of $\mathbf a$ is defined as:

$\dfrac {\mathbf a} m = \dfrac 1 m \size {\mathbf a}$

that is, scalar multiplication by $\dfrac 1 m$ of $\mathbf a$.

Sources

• 1921: C.E. Weatherburn: Elementary Vector Analysis ... (previous) ... (next): Chapter $\text I$. Addition and Subtraction of Vectors. Centroids: Addition and Subtraction of Vectors: $5$. Multiplication by a number