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11 HL: The Cross Product

Here are a couple of short questions that you might want to look at over the break. Have a great break everyone!

  1. Find the area of the triangle with vertices A(1, 1, 2), B(3, –1, 0), and C(0, –2, –1).
  2. Find a vector orthogonal to both \(\vec{a}=\begin{bmatrix}1\\2\\-2\end{bmatrix}\) and \(\vec{b}=\begin{bmatrix}3\\4\\1\end{bmatrix}\).
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11 SL: Trigonometry: Area of a Triangle and the Cosine Rule

Complete the following questions before our next class (after the break).

Exercise 8B (Red Book) questions 1–4, 9
Exercise 8C questions 1ad, 2ac, 3, 6, 9

Also make sure you finish all the homework below from our last class (which had been posted on SEQTA, but not here), and enjoy the break!

(black book)
Exercise 9D questions 2–6, 9ace, 12ab, 16

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11 SL: Trigonometric Equations & Identities

Complete the following questions before our next class.

Exercise 9A.3 questions 8b and 9a, 11a
Exercise 9C.1 questions 1d, 2ad
Exercise 9C.2 questions 1 (first column), 2ade
Exercise 9C.3 questions 1 (first column), 2a, 3ad, 4ac

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11 HL: Vector Equations of Lines

In class we looked at the question below.

  1. Find the distance of the point A(1, 3) to the line y = 2x − 2.

Here’s another to look at tonight.

  1. Find the distance of the point A(4, –1) to the line \[\vec{r}=\begin{bmatrix}2\\5\end{bmatrix}+\lambda \begin{bmatrix}-2\\1\end{bmatrix}.\]

While solving these, think about how a “purely vector” approach could be used here, and we’ll look at that sort of solution to these questions in class tomorrow.