Complete the following questions before our next class.
Exercise 13C questions 1–4, 5ab
11 HL: Introduction to Complex Numbers
Complete the following questions before our next class. You should also read the textbook material in Chapter 4. (Note that all questions here are from the green book, and when you see homework assigned you can assume it’s from the green book, unless I’ve indicated otherwise.)
Exercise 4A questions 2–4
Exercise 4B questions 1–4, 5ab, 6ad
Exercise 4C questions 1, 3, 7
Exercise 4D questions 1, 5
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 \(\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}\).
11 HL: The Remainder and Factor Theorems
Complete the following questions before our next class.
Exercise 5F questions 2, 4, and 5, 8, 10, 11
Exercise 5G questions 1, 3–5, 8
11 HL: Polynomial Division
Complete the following questions before our next class.
Exercise 5D questions 1 and 4
Exercise 5E.1 questions 2aef, 4
Exercise 5E.2 question 2
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
11 HL: Polynomials
Complete the following questions before our next class.
Exercise 5B questions 1c, 3bc, 5–8
Exercise 5C questions 1, 2bf, 3bd, 4b, 7
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!
11 SL Working with Vectors
Complete the following questions before our next class.
Exercise 12G questions 14, 15, 16, and 17
Exercise 12H questions 1, 4, 5, 8, 10, 15
Exercise 12I questions 1, 3, 5, 6, 7, 10
9 Extended: Graphs of Quadratic Functions Part 2
Complete Investigation 1 on pages 374–375 of the textbook. You can skip parts of questions that mention vectors (so, you can skip parts of questions that show vector notation, like \(\begin{pmatrix}\ldots\\ \ldots \end{pmatrix}\), which we haven’t covered).