## 11 HL: Vector Equations of Lines in 3D

Complete the following questions before our next class.

Exercise 13A questions 4, 5ac, 6ab

Also, (as a challenge question) can you answer question 2 from class? Both questions are shown below.

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

## 11 HL: Finding Vector Equations of Lines

Complete the following questions before our next class.

Exercise 13A questions 1–3

Also, see if you can finish the question below. (Vector methods not required!) We’ll discuss a vector approach to this sort of question in the lessons to come.

Find the distance of the point $$A(1,3)$$ to the line $$y=2x-2$$.

## 11 HL: Vector Equations of Lines

Find a vector equation of the line with Cartesian equation $$\displaystyle{y = \frac{3}{4}x -2}$$.

## 12 SL: Solids of Revolution

Complete the following questions before tomorrow’s class.

Exercise 19D.1 questions 1gh, 3, 5, 9
Exercise 19D.2 questions 2 and 4

## 12 SL: Kinematics and Integration

Complete the following questions for tomorrow’s class.

Exercise 19C.1 question 2
Exercise 19C.2 questions 2, 4, 8, 9

## 11 HL: The Dot Product

Complete the following questions before our next class.

Exercise 12J questions 1abc, 2, 3a, 7, 8, 9acd, 11, 14a
Exercise 12K questions 2, 4b, 5a, 8a
Exercise 12L questions 3, 4, 5ab, 8a, 11, 12, 17, 20, 21

## 12 SL: Areas Between Curves

Complete the following questions before our next class.

Exercise 19B questions 3, 4, 6, 10, 11, 16

## 11 HL: Operations with Vectors

Complete the following questions before our next class.

Exercise 12F questions 1, 5b, 6bc, 8ab, 9a
Exercise 12G questions 2abef, 3abef, 4a
Exercise 12H questions 1abd, 2ab, 3a
Exercise 12I questions 2, 5, 6a, 12, 14

## 12 SL: Areas and Definite Integrals

Complete the following questions before our next class.

Exercise 19A questions 2, 3, 4bc

## 11 HL: Vectors: Magnitude

Complete the following questions before our next class.

Exercise 12C questions 1ace, 2, 4, 6b
Exercise 12D questions 1ab, 2bc, 4cde, 5
Exercise 12E questions 1abf, 4acd, 6a, 7abfg, 8b