Question

The vector equations of OX, OY and OZ are ______________.

Answer 1

Vector equation for OX is of the form $\lambda \hat{i}$ since y and z coordinates are zero i.e. $\overrightarrow{r}=\lambda \hat{i}$

Similarly, vector equation for OY is of the form i.e. $\overrightarrow{r}=\mathrm{\mu }\hat{j}$ and vector equation for OZ is of the form $\overrightarrow{r}=v\hat{k}$

i.e. $\overrightarrow{r}=\lambda \hat{i},\overrightarrow{r}=\mathrm{\mu }\hat{j},\overrightarrow{r}=v\hat{k}$ represents vector equation of OX, OY and OZ respectively.