# Different Representation of Curves – Switch from Cartesian to vector – Exercise 3807

Exercise

A line is given as an intersection of the plains

$$2x-y-z-1=0$$

$$x-y+z-2=0$$

Present the curve in the vector presentation.

$$\vec{r}(t)=(2t-1)\vec{i}+(3t-3)\vec{j}+t\vec{k}$$