Complete the following question before our next class.
Find the point of intersection of the line \( \frac{x-2}{5}=\frac{y+2}{2}=\frac{z-1}{3}\) and the plane \(2x-3y+z=0\).
12 SL: Standard Deviation and Linear Regression
Complete the following questions before our next class.
Exercise 20F.1 question 6
Exercise 20F.3 questions 2 and 4
Exercise 21A question 2
Exercise 21B question 1
Exercise 21C question 2
Exercise 21D question 3
Exercise 21E question 4
12 S: Cumulative Frequency Diagrams
Complete the following questions before tomorrow’s class.
Exercise 20E questions 1, 3, and 5
11 HL: The Scalar Triple Product
Complete the question below before our next class.
Exercise 12N.3 question 9
11 HL: The Cross Product
Complete the following questions before our next class.
Exercise 12N.1 questions 1, 4, 8, 10
Exercise 12N.2 questions 3, 4, 5
Exercise 12N.3 questions 2, 5
11 HL: Points of Intersection and Angles Between Lines
Complete the following questions before our next class.
Exercise 13B questions 2, 3, and 4
Exercise 13C question 7
Exercise 13F.2 question 1 abcd
12 SL: Grouped Data, Quartiles, and Box Plots
I have to be away from class this afternoon, so you’ll want to do some reading (sections 20B.2, 20B.3, 20C, and 20D), then complete the following questions.
Exercise 20B.2 questions 1 and 3
Exercise 20B.3 questions 1 and 3
Exercise 20C questions 1, 3, and 4
Exercise 20D questions 1 and 3
11 HL: Distance for a Point to a Line
Complete the following questions before our next class.
Exercise 13D questions 1ac, 2, 5
12 SL: Descriptive Statistics
Complete the following questions before our next class. (Much of this should be review, but you may need to check definitions/read some examples in the textbook to refresh your memory.)
Exercise 20A question 1
Exercise 20B.1 questions 1 (use your calculator!), 3, 8, 12, 14
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.
- Find the vector equation of the line passing through \(A(1,-1,4)\) and \(B(3,3,-1)\).
- Find the distance of the point \(A(1,2,3)\) to the line given by
\[\vec{r}=\begin{bmatrix}4\\2\\1\end{bmatrix}+\lambda \begin{bmatrix}4\\1\\-1\end{bmatrix}\]