# Linear Combination in $R^3$ (3李⑥썝?곸쓽 ?쇱감寃고빀)

Linear Combination
Suppose that $K$ is a field (for example, the real numbers) and $V$ is a vector space over $K$. As usual, we call elements of $V$ vectors and call elements of $K$ scalars. If $\textbf{v}_1,...,\textbf{v}_n$ are vectors and $a_1,...,a_n$ are scalars, then the linear combination of those vectors with those scalars as coefficients is
$a_1 \textbf{v} _1 + a_2 \textbf{v}_2 + \cdots + a_n \textbf{v}_n$