Category: 11 Mathematics HL

The questions below involve applications of the Fundamental Theorem of Algebra, and/or the other theorems we’ve now covered. Have these completed for our next class.

Page 193 question 3
Page 195 questions 3, 4
Page 196 questions 2, 4
Page 198 questions 1, 2, 5
Page 200 questions 2, 3, 6

Complete the following questions for our next class.

Complete the following questions for our next class.

Page 188 questions 1 and 2

Page 195 questions 2 and 4

Page 196–197 questions 2, 4, and 5a

Have a look at questions in this file before our next lesson.

Have a look at the following questions before our next lesson. (The first two most of you have done in class, the second is new for everyone.)

1. Find a vector equation of the line passing through \(A(1,3)\) and \(B(2,-1)\).
2. Find the distance of the point \(A(1,3)\) to the line \(y=2x-2\).
3. Find the distance from the point \(A(1,3)\) to the line \(\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}\).

Complete the following questions for our lesson tomorrow.

Page 642 questions 1ace, 2bc, 7a, 9, 12, 16, 19, 22

Complete the following questions for our lesson tomorrow.

Pages 417–419 questions 10, 12, 14, 15, 18, 20, 24

You’ll find it useful to read the textbook pages 412–416 (especially the examples) when answering some of these questions. The textbook also mentions something they call a direction angle for a vector, and although we won’t have much use for that angle right now, it may be useful later in the course, so I suggest you look at that material as well (in particular, look at the example on page 411).

Complete the following questions (in addition to those left on the board) for our next lesson.