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

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Overview

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

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

[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/98ee2f0ac2466c89729860392c7efdc7_MIT18_02SC_L1Brds_8.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/25bbd85a652b66f45e68fb90ba35a41c_MIT18_02SC_L1Brds_9a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/8e9be84d1639812c2fd73ff0aa635b00_MIT18_02SC_L1Brds_9.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/16a040a54f781808455b1274fd660177_MIT18_02SC_L1Brds_10a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/922a33d42fd06cb1fc5c512b4bc64499_MIT18_02SC_L1Brds_10.png)[[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/c0d93c1bf8173ddc3768fd6a8c2c01d7_MIT18_02SC_L1Brds_11a.png)](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/9ea32f6f9a8768e2247403338386b4a7_MIT18_02SC_L1Brds_11.png)
[](https://open-learning-course-data-ci.s3.amazonaws.com/18-02sc-multivariable-calculus-fall-2010/bc3fd10920ed0baff66e75d2d45e0e61_MIT18_02SC_L1Brds_12.png)

Examples

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 Features

laptop_windows Interactive simulations - Applet
grading Exams - Solutions
grading Exams - Solutions
grading Exams - Solutions
notes Lecture notes - Complete