Category: 11 Mathematics HL

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

Complete the following questions before our next class. (Use your discretion when choosing which questions to answer—feel free to skip those that you are absolutely certain you can answer with ease.)

Exercise 12F questions 1, 5b, 6bc, 8ab, 9a
Exercise 12G questions 2abef, 3abef, 4a
Exercise 12H questions 1abd, 2ab, 3a
Exercise 12I questions 2, 5, 6a, 12, 14, 18, 21, 26

Complete the following questions before our next class.

Exercise 12C questions 1ace, 2, 4, 6b
Exercise 12D questions 1ab, 2bc, 4cde, 5
Exercise 12E questions 1abf, 4acd, 6a, 7abfg, 8b

Complete the following questions before our next class.

Exercise 12B.1 questions 2ade, 4
Exercise 12B.2 question 2a, 3def
Exercise 12B.3 question 2
Exercise 12B.4 questions 4–6

Complete the following questions before our next class.

Exercise 1D questions 3–6, 9, 11, 17ab, 18abd
Exercise 1E questions 3ab, 4cf, 6, 8, 10, 19a, 28a, 29a

Complete the following questions before our next class.

Exercise 1C.1 questions 2ae, 3ad, 4ae
Exercise 1C.2 questions 1agj, 4ac
Exercise 1C.3 questions 3acg, 4ac

Complete the following questions before our next class (all from the blue textbook).

Exercise 17G.3 questions 5c, 9d, 10a, 11c, 15c
Exercise 8G questions 2 and 3c