abMathematics

Have a look at questions in this file before our next lesson.

Have a look at the following questions before our next lesson. (The first two most of you have done in class, the second is new for everyone.)

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

Complete the following questions for our lesson tomorrow.

Page 642 questions 1ace, 2bc, 7a, 9, 12, 16, 19, 22

Complete the following questions for our lesson tomorrow.

Pages 417–419 questions 10, 12, 14, 15, 18, 20, 24

You’ll find it useful to read the textbook pages 412–416 (especially the examples) when answering some of these questions. The textbook also mentions something they call a direction angle for a vector, and although we won’t have much use for that angle right now, it may be useful later in the course, so I suggest you look at that material as well (in particular, look at the example on page 411).

Complete the following questions (in addition to those left on the board) for our next lesson.