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 \(\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}\).