Category: Mathematics

Posted on

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.

Posted on

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.

Posted on

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 \(L_3\).

Posted on

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.

Posted on

11 HL Planes

Here are a couple of short questions to look at before our next lesson.

  1. Verify that the points \(A(1,2,3)\), \(B(-2,0,0)\), and \(C(3,-2,-1)\) are not collinear.
  2. Find the vector equation of the plane that contains all three points from question 1.
  3. Find the Cartesian equation of the plane you determined in question 2.
  4. Verify your answers using GeoGebra.
Posted on

11 SL Sequences (Part 2)

Complete the following questions before our next class.

Exercise 6D.1 1c, 2b, 3c, 4, 6, 7
Exercise 6D.2 1, 2
Exercise 6D.3 1, 3, 6, 7
Exercise 6E 1ae, 2ad, 4a