Month: February 2020

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11 HL: Vector Equations of Lines in 3D

Complete the following questions before our next class.

Exercise 13A questions 4, 5ac, 6ab

Also, (as a challenge question) can you answer question 2 from class? Both questions are shown below.

  1. Find the vector equation of the line passing through \(A(1,-1,4)\) and \(B(3,3,-1)\).
  2. Find the distance of the point \(A(1,2,3)\) to the line given by
    \[\vec{r}=\begin{bmatrix}4\\2\\1\end{bmatrix}+\lambda \begin{bmatrix}4\\1\\-1\end{bmatrix}\]
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11 HL: Finding Vector Equations of Lines

Complete the following questions before our next class.

Exercise 13A questions 1–3

Also, see if you can finish the question below. (Vector methods not required!) We’ll discuss a vector approach to this sort of question in the lessons to come.

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

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11 HL: The Dot Product

Complete the following questions before our next class.

Exercise 12J questions 1abc, 2, 3a, 7, 8, 9acd, 11, 14a
Exercise 12K questions 2, 4b, 5a, 8a
Exercise 12L questions 3, 4, 5ab, 8a, 11, 12, 17, 20, 21

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11 HL: Vectors: Magnitude

Complete the following questions before our next class.

Exercise 12C questions 1ace, 2, 4, 6b
Exercise 12D questions 1ab, 2bc, 4cde, 5
Exercise 12E questions 1abf, 4acd, 6a, 7abfg, 8b