Category: 11 HL Homework

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Vector Equations of Lines

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 \(\displaystyle{\vec{r}=\begin{bmatrix}4\\2\end{bmatrix}+\lambda \begin{bmatrix}4\\1\end{bmatrix}}\).
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Working with Vectors

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).

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Introduction to Vectors

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

Pages 407–409 questions 1, 3, 6, 10, 12, 19, 20, 22

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Applications of Trigonometry

Now that we’ve looked at the Sine and Cosine Rules (as well as the ambiguous case of the sine rule), we can apply these to solve some 3D problems.

Have a look at the following questions tonight.

Pages 381–382 questions 24 and 25

Pages 391–393 questions 12, 17, 19

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The Ambiguous Case

Can you solve the ambiguous case?

Use GeoGebra to see if you can find the missing angle discussed in class.

In addition to this, complete the following set of questions from the textbook for our next lesson. (For a couple of these questions, you’ll need the definitions of angle of elevation and angle of depression.)
Pages 358–360 questions 31, 36, 40

Pages 367–369 questions 2, 11 c, 14 b, 16 + one of 20, 21, 22, or 23 (you choose)

Pages 380 questions 9, 21, 24