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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}}.