问题
已知，有常数 $\textcolor{cyan}{k}$ 和向量 $\textcolor{orange}{\alpha}$ $\textcolor{orange}{=}$ $\textcolor{orange}{(a_{1}, a_{2}, a_{3})^{\top}}$, 则 $\textcolor{cyan}{k}$ $\textcolor{orange}{\alpha}$ $=$ $?$选项
[A]. $k \alpha$ $=$ $(k^{3} a_{1}, k^{3} a_{2}, k^{3} a_{3})^{\top}$[B]. $k \alpha$ $=$ $(ka_{1}, a_{2}, a_{3})^{\top}$
[C]. $k \alpha$ $=$ $(ka_{1}, ka_{2}, ka_{3})^{\top}$
[D]. $k \alpha$ $=$ $(\frac{1}{k} a_{1}, \frac{1}{k} a_{2}, \frac{1}{k} a_{3})^{\top}$
$\textcolor{cyan}{k} \alpha$ $=$ $(\textcolor{cyan}{k} a_{1}, \textcolor{cyan}{k} a_{2}, \textcolor{cyan}{k} a_{3})^{\top}$