12 SL: Limits

Read through Sections 14A and 14B in the textbook, and then work on the questions below. You should complete all questions in Section 14A, and as many as possible in Section 14B, which we’ll discuss in our next class.

Also, please reflect on your Vectors test in SEQTA.

Exercise 14A questions 1–3, 4adg
Exercise 14B questions 1–3

12 SL: Vectors Test

As advertised, we’ll have our vectors test on Wednesday, September 18th. This test will cover all material on vectors (Chapters 12 and 13 in the textbook).

Your best resource for test preparation is the set of review questions that were emailed to you, and the mark scheme for those questions will be sent to you via email as well. You may also wish to look at review questions from the end of chapter review sets as well.

12 SL: Distance from a Point to a Line

Try to complete the following question before our next class.

Find the shortest distance from the point \(A(1,3)\) to the line \(\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}\).

12 SL: Vector Equations of Lines

Complete the following questions before our next class. Note that some questions involve the parametric form of a vector equation, which you’ll want to read about on page 323 in the textbook. (The parametric form is very similar to the vector form.)

Exercise 13B questions 1–5

12 SL Summer Break Homework

Hope you are having a great summer!

Don’t worry, there’s still some time left before you return, which is a great opportunity for you to revisit what you know about vectors!

When last we met, we had looked at the definition(s) of the dot product. Below are some questions that concern the dot product, which you should complete before we return to school.

Exercise 12J questions 1abf, 2cde, 4, 6, 7, 10, 11, 13, 14, 15, 19, 20, 23

Enjoy the rest of the summer!