## MAT B41 — Week 1

**First class tonight. Come on out! Tutorials next week. The Pre-Course Survey is available here.**

**Additional resources:**

- Wikipedia on vector spaces.
- Khan Academy on real coordinate spaces.
- ThreeBlueOneBrown on vectors.

**Suggested Exercises:**

- Section 1.1 Vectors in Two- and Three-Dimensional Space: 1, 4, 7, 10, 11, 13, 15, 25, 27, 28
- Section 1.2 The Inner Product, Length, and Distance: 1, 6, 7, 8, 15, 19, 25

**Past Term Tests:**

*2016 Term Test:* Let be the line through and ; let be the plane through , , and ; and let be the line orthogonal to and passing through .

- Give both a normal form equation for and a parametric description for .
- Give parametric descriptions for the lines and .
- Determine whether the line meets the plane .
- Determine whether there is a plane containing the lines and . If there is a plane, find its equation.

*2015 Term Test:* Let be the plane through , , and .

- Give a normal form equation for .
- Give a parametric description of the line through and orthogonal to .
- Where does meet ?

**Notes:**

Parker’s notes might contain more material than covered was covered in lecture. If you take PDF notes of class, please send them to Parker and help the whole class out! You can ask to have your name included or not.

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