Complete the following questions before our next class.
(Red Book)
Exercise 8D.1 questions 1abd, 2ab, 3a
Exercise 8D.2 questions 1, 2ab, 3
11 HL: The Cross Product
Here are a couple of short questions that you might want to look at over the break. Have a great break everyone!
- Find the area of the triangle with vertices A(1, 1, 2), B(3, –1, 0), and C(0, –2, –1).
- Find a vector orthogonal to both \(\vec{a}=\begin{bmatrix}1\\2\\-2\end{bmatrix}\) and \(\vec{b}=\begin{bmatrix}3\\4\\1\end{bmatrix}\).
12 SL 4: Independent & Dependent Events
Complete the following questions before our next class (after the break).
Exercise 10F questions 2, 5, 7, 11
Exercise 10G questions 1, 7, 11
11 SL: Trigonometry: Area of a Triangle and the Cosine Rule
Complete the following questions before our next class (after the break).
Exercise 8B (Red Book) questions 1–4, 9
Exercise 8C questions 1ad, 2ac, 3, 6, 9
Also make sure you finish all the homework below from our last class (which had been posted on SEQTA, but not here), and enjoy the break!
(black book)
Exercise 9D questions 2–6, 9ace, 12ab, 16
12 SL 4: Representing Probability and Laws of Probability
Complete the following questions before our next class.
(Red Textbook)
Exercise 10D questions 3, 14, 22
Exercise 10E questions 2, 3, 5
11 HL: Angles Between Lines
Complete the following questions before our next class.
Exercise 13B questions 4, 5, 6, 7a
11 HL: Vector Equations of Lines
Complete the following questions before our next class.
Exercise 13A questions 1–4, 5ac, 6ab
11 SL: Trigonometric Equations & Identities
Complete the following questions before our next class.
Exercise 9A.3 questions 8b and 9a, 11a
Exercise 9C.1 questions 1d, 2ad
Exercise 9C.2 questions 1 (first column), 2ade
Exercise 9C.3 questions 1 (first column), 2a, 3ad, 4ac
11 HL: Vector Equations of Lines
In class we looked at the question below.
- Find the distance of the point A(1, 3) to the line y = 2x − 2.
Here’s another to look at tonight.
- 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.
11 HL: Vector Equations of Lines
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.
- Find the Cartesian equation of the line \[\vec{r}=\begin{bmatrix}4\\-1\end{bmatrix}+\lambda \begin{bmatrix}1\\2\end{bmatrix}\]
- Find a vector equation of the line passing through A(1, 3) and B(2, −1).