Category: 11 Mathematics HL

Complete the following questions before our next class.

Exercise 9A questions 1a, 3, 5, 10, 13b, 14
Exercise 9C.1 questions 1ab, 3a, 5

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

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

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 \(2x+y-z=4\).

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 \(2x-3y+z=0\).

Complete the question below before our next class.

Exercise 12N.3 question 9

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

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

Complete the following questions before our next class.

Exercise 13D questions 1ac, 2, 5