18.02SC | Fall 2010 | Undergraduate

Multivariable Calculus

Part A: Vectors, Determinants and Planes

Session 3: Uses of the Dot Product: Lengths and Angles

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In this session you will:

  • Watch a lecture video clip and read board notes
  • Review an example
  • Watch a recitation video
  • Do problems and use solutions to check your work

Lecture Video

Video Excerpts

Clip: Lengths and Angles

The following images show the chalkboard contents from these video excerpts. Click each image to enlarge.


Uses of Dot Product (PDF)

Recitation Video

Dot Products and Angles

Problems and Solutions

Problems: Uses of Dot Product (PDF)

Solutions (PDF)

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Course Info

As Taught In
Fall 2010
Learning Resource Types
Exams with Solutions
Problem Sets with Solutions
Lecture Videos
Lecture Notes