Math - Vectors - Scalar multiplication onto a vector

The scalar multiplication onto a vector is simply [1]

\begin{equation}
h \mathbf{u} = \left( h u_1 +, \ldots, + h u_n \right)
\end{equation}

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References:

[1] W. Kaplan. Advanced Calculus (5th ed.). Addison-Wesley. 2002