Complete the following questions before our next class.
Exercise 9A questions 1a, 3, 5, 10, 13b, 14
Exercise 9C.1 questions 1ab, 3a, 5
11 HL: Angles and Planes
Complete the following questions before our next class.
Exercise 13G Questions 1, 2, 3, 4a, 13, 15, 23
Exercise 13H Questions 1abd, 3a, 4, 5a, 7
11 HL: Intersecting Planes
While we’ve looked at finding the line of intersection of two planes, finding the point (or line) of intersection of three planes is actually no more difficult, so some of the questions below involve finding points (or lines) of intersection of three planes. Try to visualize the situation, and you may find GeoGebra helpful in approaching some of these questions.
Note that some of these questions instruct you to use elementary row operations (so, a matrix-based approach). I’m happy for you to use any (non-calculator) approach you like to answer these.
Exercise 13I question 1bc, 4abd, 5b, 8
12 SL: Compound Events With and Without Replacement
Complete the following questions before our next class.
Exercise 22F questions 1, 3, 4, and 6
Exercise 22G questions 1, 2, 4, and 10
11 HL: Vector and Cartesian Equations of Planes
Try the (challenge) question below before our next class. For an extra challenge, can you post your solution below using \(\LaTeX\)? (See here for a quick tutorial.)
Find a vector equation of the plane whose Cartesian equation is \(2x+y-z=4\).
11 HL: Planes and Normals
Complete the questions in the PDF file attached before next class. (Questions 1 b) and 3 a) are challenge questions, but you might be able to figure these out using the material we’ve covered in the past few lessons… see the hint below.)
12 SL: Probability
Complete the following questions over the break. (Some of these will require that you do some independent reading of the relevant sections. Also, the more you’re able to read ahead, the better!)
Enjoy the break!
Exercise 22B 1–3
Exercise 22C.1 questions 3 and 5
Exercise 22D question 3
Exercise 22E.1 questions 2, 3, 5
Exercise 22E.2 questions 2 and 3
11 HL: Lines & Planes
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