Category: 11 HL Homework

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

Exercise 9A questions 2b, 4, 10, 13b
Exercise 9B questions 1b, 2b, 6, 8
Exercise 9C.1 questions 1ce, 2b, 3b, 4

Complete the following questions before our next class.

Exercise 13H questions 2, 3b, 8
Exercise 13I 7, 11

Complete the questions in the document attached before our next class.

Complete the following questions before our next class. (If you are certain that you can answer a question with ease you can skip it.)

Exercise 13C question 8
Exercise 13D question 4
Exercise 13E question 5
Exercise 13F.1 questions 1de, 8, 9 (you don’t need to use row reduction here)
Exercise 13F.2 questions 1de
Exercise 13F.3 question 1b (this is a challenge question)
Exercise 13G questions 1, 4a, 6, 11

Below are the questions we looked at in class. Some are difficult, but give these a try tonight and we’ll discuss them tomorrow.

Here are a couple of short questions that you might want to look at over the break. Have a great break everyone!

1. Find the area of the triangle with vertices A(1, 1, 2), B(3, –1, 0), and C(0, –2, –1).
2. Find a vector orthogonal to both \(\vec{a}=\begin{bmatrix}1\\2\\-2\end{bmatrix}\) and \(\vec{b}=\begin{bmatrix}3\\4\\1\end{bmatrix}\).

Complete the following questions before our next class.

Exercise 13B questions 4, 5, 6, 7a

Complete the following questions before our next class.

Exercise 13A questions 1–4, 5ac, 6ab

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).