问题
若空间直线方程过点 $(x_{0}, y_{0}, z_{0})$, 且该直线的方向向量 $\vec{s}$ $=$ $(A, B, C)$, 则如何使用 [标准式方程] 或者说 [对称式方程] 表示该直线？选项
[A]. $A(x – x_{0})$ $=$ $B(y – y_{0})$ $=$ $C(z – z_{0})$[B]. $\frac{x + x_{0}}{A}$ $=$ $\frac{y + y_{0}}{B}$ $=$ $\frac{z + z_{0}}{C}$
[C]. $\frac{x – x_{0}}{A}$ $=$ $\frac{y – y_{0}}{B}$ $=$ $\frac{z – z_{0}}{C}$
[D]. $\frac{x – A}{x_{0}}$ $=$ $\frac{y – B}{y_{0}}$ $=$ $\frac{z – C}{z_{0}}$
$\frac{\textcolor{red}{x} – \textcolor{cyan}{x_{0}}}{\textcolor{orange}{A}}$ $=$ $\frac{\textcolor{red}{y} – \textcolor{cyan}{y_{0}}}{\textcolor{orange}{B}}$ $=$ $\frac{\textcolor{red}{z} – \textcolor{cyan}{z_{0}}}{\textcolor{orange}{C}}$