Definition:Scalar Multiplication/Vector Quantity

Definition
Let $\mathbf a$ be a vector quantity.

Let $m$ be a scalar quantity.

The operation of scalar multiplication or $m$ on $\mathbf a$ is defined as:


 * $\size {m \mathbf a} = m \size {\mathbf a}$

such that the direction of $m \mathbf a$ is the same as the direction of $\mathbf a$.