Complete the following questions before our next class.
Exercise 13D questions 1ac, 2, 5
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.
- Find the vector equation of the line passing through \(A(1,-1,4)\) and \(B(3,3,-1)\).
- 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 \(\displaystyle{y = \frac{3}{4}x -2}\).
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
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
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
11 HL: Introduction to Vectors
Complete the following questions before our next class.
Exercise 12A.2 questions 2 and 3
Exercise 12B.1 questions 1ab and 2
Exercise 12B.2 question 2a
Exercise 12B.3 questions 1, 2a
Exercise 12B.4 questions 1abce, 6
11 HL: Compound– and Double-Angle Identities
Complete the following questions before our next class.
Exercise 1D questions 3–6, 9, 11, 17ab, 18abd
Exercise 1E questions 3ab, 4cf, 6, 8, 10, 19a, 28a, 29a
11 HL: The Compound Angle Identities + Other Trigonometric Identities
Read the relevant sections of the (green) textbook, then complete the following questions.
Exercise 1C.1 questions 1abf, 2abc, 3abc, 4a–e
Exercise 1C.2 questions 1adgj, 2, 3ab, 4a
Exercise 1C.3 questions 1adgk, 2abe, 3c, 4abc