Question

Write the cartesian and vector equation of the $z-\mathrm{axis}$.

Answer 1

Finding cartesian and vector equation:

The cartesian equation of $z-\mathrm{axis}$ is,

$\frac{x}{0}=\frac{y}{0}=\frac{z}{1}$

The vector equation of $z-\mathrm{axis}$ is,

$\overrightarrow{r}=a\hat{k}$, where $a$ is any constant value.

Hence, cartesian and vector equation of the $z-\mathrm{axis}$ is $\frac{x}{0}=\frac{y}{0}=\frac{z}{1}$ and $\overrightarrow{r}=a\hat{k}$.