Lecture 1: Dot product
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Lesson Description:
Learn about dot products of three dimensional vectors.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 14, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.
Additional Resources:
- Lecture Notes - Lecture Notes from this lesson.
- Transcript of Lesson - The written transcript of the lesson.
- Problem Set - A problem set with some problems from this lecture.
- Vector Operations and Properties - A list of some operations and properties using vectors.
Questions answered by this video:
- What is a dot product?
- What is a vector?
- How are vectors used in Calculus 3?
- How do you find the length of a three dimensional vector?
- How do you add or subtract vectors?
- How do you multiply a vector by a scalar?
- How do you find the dot product of two vectors?
- What is the formula for the dot product of two vectors?
- What does the dot product of vectors mean geometrically?
- What are some applications of computing a dot product?
- How can you find the angle between two vectors?
- How do you know when the sign of the dot product of two vectors will be positive, negative, or 0?
- How can you tell if two vectors are orthogonal?
- What does it mean when the dot product of two vectors is 0?
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Staff Review
This video explains in depth what vectors are, what taking the dot product means, and why it is useful. This is a very important lecture in Multivariable Calculus. Make sure to watch and understand this lecture on vectors and the dot product if you want to understand this course.
