Category: Mathematics

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.

2. 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.

We’ll look at these questions in class tomorrow, but if you want to get a head start, you can check out the questions below.

1. Find the Cartesian equation of the line \[\vec{r}=\begin{bmatrix}4\\-1\end{bmatrix}+\lambda \begin{bmatrix}1\\2\end{bmatrix}\]
2. Find a vector equation of the line passing through A(1, 3) and B(2, −1).

Complete the following questions before our next class (these questions were discussed in our last class).

Exercise 12M questions 1, 2, 5, 13*

*Question 13 is very difficult!

Complete the following questions before our next class (you can skip some of these, but only if you are absolutely certain you can get the correct answer with no difficulty).

Exercise 12J questions 1abc, 2, 3a, 7a, 8ab, 9acd, 11, 14a
Exercise 12K questions 2, 4b, 5a, 8a, 9
Exercise 12L questions 3, 4, 5ab, 8a, 11, 12, 17, 20, 21