Complete the following questions before our class next week.
Exercise 13B questions 1–5
11 SL Vector Equations of Lines [updated]
Take the night off, SL Math students!
(Of course, feel free to read Section 13B, which we’ll be looking at on Friday; questions will be posted here after class on Friday.)
Update: The questions are now available here.
11 SL The Dot Product
Complete the following questions over the break (and don’t forget to also work on questions from the review materials that were sent to you!).
Exercise 12J questions 1abf, 2cde, 4, 6, 7, 10, 11, 13, 14, 15, 19, 20, 23
11 SL Parallel Vectors
Complete the following questions before our next class.
Exercise 12H questions 2–5, 9ab
11 SL Magnitude of a Vector
We’ve now covered a lot material in the past lesson or two, which allows us to dive in and try questions from a number of different sections.
Complete the following questions before our next class.
Exercise 12D questions 1abc, 2, 5
Exercise 12E questions 4abefgh, 6, 7abcgh, 9
Exercise 12F questions 1, 3–5
Exercise 12G questions 3, 6, 11
11 SL Vectors in Component Form and “Unit Vector Form”
The vector shown below is given in component form on the left, and unit vector form on the right (although these terms are sometimes used interchangeably).
\[\begin{bmatrix}2\\-3\end{bmatrix}=2\vec{i}-3\vec{j}\]
The questions below will involve working with these ways of representing a vector. Complete these questions before our next class.
Exercise 12C questions 2ac, 3
11 SL Vectors
Complete as many of the following questions as you can before our next class.
Exercise 12A.2 questions 2 and 3
Exercise 12B.1 questions 2 and 3
Exercise 12B.2 questions 1a and 3
Exercise 12B.3 questions 1df and 2
Exercise 12B.4 questions 1abce, 2, 3–5
11 SL Double-Angle Formulas
Complete the questions below (which will be good preparation for our test on Friday).
Exercise 11D questions 7gjm, 8a, 9a, 10b
Exercise 11E 1de, 2ade
11 SL Trigonometric Identities and Expressions
In order to make use of the trigonometric identities we discussed today, it is frequently also necessary to be able to simplify or factor expressions involving trigonometric functions.
The questions below give you some opportunity to practice simplifying and factoring, then you’ll use those skills when applying the double-angle formulae. Complete these questions before our next class (and these may be checked on Monday…).
Exercise 11C.1 questions 1aef, 2d, 3acd, 4ad
Exercise 11C.2 questions 1ace, 2af, 3af
Exercise 11D questions 1–5
11 SL Trigonometric Equations and Models
Now that we’ve covered some techniques for solving trigonometric equations, we can make use of those techniques in situations involving trigonometric models. Complete the questions below before our next class.
Exercise 11B questions 3, 5, and 6