11 HL: Vector Equations of Lines in 2D

Do your best to complete the questions listed below before our next class (we’ll continue working on these in class on Monday).

  1. Find a vector equation of the line with Cartesian equation \(y = \frac{3}{4}x -2\).
  2. Find another correct reponse to question 1 that uses different values for both \(\vec{a}\) and \(\vec{b}\).
  3. Find the Cartesian equation of the line \(\vec{r}=\begin{bmatrix}4\\-1\end{bmatrix}+\lambda \begin{bmatrix}1\\2\end{bmatrix}\).
  4. Find a vector equation of the line passing through \(A(1,3)\) and \(B(2,-1)\).

11 HL: The Cosine Rule

Complete the following questions before our next class.

(blue textbook)
Exercise 9B questions 1b, 2b, 6, 7, 8
Exercise 9D (choose any three questions to complete)

12 SL: Introduction to Probability

Complete the following questions before our class on Tuesday next week. Reading some of the textbook examples may help!

(Red Textbook)
Exercise 10A questions 3 and 5
Exercise 10B questions 2 and 4
Exercise 10C questions 2, 3
Exercise 10D question 3, 6, 17, 24

11 HL: The Sine Rule

Complete the following questions before our next class. (And see if you can solve The Ambiguous Case!)

Exercise 9C.1 questions 1ab, 3a, 5

11 HL: Area of a Triangle (Revisited)

Complete the following questions before our next class.

Exercise 9A questions 1a, 3, 5, 10, 13b, 14

If you want to get a head start on tomorrow’s material, you can look at

Exercise 9C.1 questions 1ab, 3a, 5

12 SL: Compound Interest

Complete the questions below before our next class.

Exercise 5E.1 questions 1, 5, 6, 9

If you want to get a head start on the material from our next class, you can have a look at the questions below as well.

Exercise 5E.2 question 1
Exercise 5E.3 question 2
Exercise 5E.4 question 2
Exercise 5E.5 questions 3, 5, 7, 11

11 HL: The Dot Product

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 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