11 HL Vectors Assignment [updated]

Complete the questions here and submit your work to me as an electronic file before the end of the day on Monday, February 5th.

You can use any software you like to create your file, but your submission should be sent to me as a PDF document.

Update: Are you trying to use Google Docs for this? Surprisingly, the Google Docs equation editor doesn’t support vectors (or matrices)! If you don’t have \(\LaTeX\), Word, Or Pages available, you could also use LibreOffice (which is free and has an equation editor). If you can’t find an alternative, handwritten work (hard copies) will be accepted.

11 HL Vectors Test

We’ll have our test on all the vectors material on Tuesday, February 13th.

The best resource to use in preparing for the test is the set of questions that has been distributed to you via email. If you have any questions about the solutions, we can discuss some of these in our classes leading up towards the test.

11 SL Transformations, Sequences and Series Test

On Monday, February 5th, we’ll have a test on transformations, sequences, and series (Chapters 5 and 6).

Two resources have been added to the SL Resources page: one contains sample test questions, and the other contains the mark scheme for the solutions. Those questions will be a useful resource when you’re preparing for the test.

11 HL Lines in 3D

Consider the three lines defined below.

\[L_1: \vec{r}=\begin{bmatrix}1\\2\\3\end{bmatrix}+\lambda \begin{bmatrix}1\\-3\\-4\end{bmatrix}\]

\[L_2: \vec{r}=\begin{bmatrix}-2\\-3\\0\end{bmatrix}+\lambda \begin{bmatrix}4\\4\\0\end{bmatrix}\]

\[L_3: \vec{r}=\begin{bmatrix}2\\-5\\-3\end{bmatrix}+\lambda \begin{bmatrix}0\\2\\1\end{bmatrix}\]

Show that \(L_1\) and \(L_2\) are skew lines, then find the point of intersection of \(L_1\) and \(L_3\).

11 SL Arithmetic Series

Complete the following questions before our next class.

Exercise 6F 1ad, 2ac, 3ac, 6

If you’re up for a challenge, also try questions 10 and 11.