Day 56 in Mat229

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Announcements
- Your quiz:
  - The quiz
  - The key
- No quiz this week:
  - Today we will investigate three-dimensional representations of points, planes, and spheres, as well as vectors (sections Vol 3, Sec 2.1: Vectors in the Plane and Vol 3, Sec 2.2: Vectors in Three Dimensions).
  - Tomorrow we will encounter two different types of vector multiplication: the dot-product, and the cross-product: Vol 3, Sec 2.3: The Dot Product and Vol 3, Sec 2.4: The Cross Product.
  - Then Thursday we will end with three-dimensional parametric curves, and an application to Earth's orbit around the sun.
  - Friday will be a review day.
Today:
- We encounter analogues to many of our friends from two dimensions:
  - The distance formula generalized
  - Planes rather than lines (3-d linear equations)
  - Spheres rather than circles
- Materials:
  - 3D_Coordinates and Vectors (.nb)
  - 3D_Coordinates and Vectors (.pdf)
Links:
- Polar graph paper
- Lab 11 Review worksheet
- Prof. Roger Zarnowski's cool series tools handout
- Wolfram Alpha
- Mathematica on-line is an option, if you are at a computer without Mathematica installed.

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