## Lines and Vectors

Have a look at questions in this file before our next lesson.

## Vector Equations of Lines

Have a look at the following questions before our next lesson. (The first two most of you have done in class, the second is new for everyone.)

1. Find a vector equation of the line passing through $$A(1,3)$$ and $$B(2,-1)$$.
2. Find the distance of the point $$A(1,3)$$ to the line $$y=2x-2$$.
3. Find the distance from the point $$A(1,3)$$ to the line $$\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}$$.