In this lesson, you will learn about dot products of three-dimensional vectors. A vector is a quantity that has both a direction and a magnitude, and can be represented in terms of its components along the coordinate axis. Vector addition and multiplication by a scalar are also covered. Dot product is a way of multiplying two vectors to get a scalar, and its geometric definition leads to the length of A times the length of B times the cosine of the angle between them. The law of cosines is used to understand the relation between dot product and length of two different vectors.
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.