Definition2.1.5

The linear combination of the vectors \(\vvec_1,\vvec_2,\ldots,\vvec_n\) with scalars \(c_1,c_2,\ldots,c_n\) is the vector

\begin{equation*} c_1\vvec_1 + c_2\vvec_2 + \ldots + c_n\vvec_n\text{.} \end{equation*}

The scalars \(c_1,c_2,\ldots,c_n\) are called the weights of the linear combination.

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