11 HL: Vector Equations of Lines

In class we looked at the question below.

  1. Find the distance of the point A(1, 3) to the line y = 2x − 2.

Here’s another to look at tonight.

  1. Find the distance of the point A(4, –1) to the line \[\vec{r}=\begin{bmatrix}2\\5\end{bmatrix}+\lambda \begin{bmatrix}-2\\1\end{bmatrix}.\]

While solving these, think about how a “purely vector” approach could be used here, and we’ll look at that sort of solution to these questions in class tomorrow.

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