created: 08/26/97; revised: 08/14/00, 07/26/03, 07/23/09
Note for blind, VI, and sighted users
This chapter contains many equations that include a symbol that looks like a dot, but which is not readable by the accessibility equipment used by blind and VI students.
Therefore, wherever practical, I will replace that symbol by the word dot enclosed in parentheses as shown below:
u (dot) v
In addition, the chapter contains many instances showing squared terms where the superscript 2 is used as an exponent. Accessibility equipment used by blind and VI students frequently does not identify the superscript. Therefore, wherever practical, I will replace that syntax by the following, which is a common programming symbol for raising a value to a power:
The dot product is used for:
This chapter adds nothing new, but extends the third application to the angle between vectors in 3D space.
What is the angle between two edges of a cardboard box that meet in a corner?