created 08/26/97; revised 08/12/00, 07/23/0, 07/23/09, 01/11/15

Examine the operations that have been discussed so far:

Vector addition: | vector + vector | = | vector |

Vector subtraction: | vector - vector | = | vector |

Difference of points: | point - point | = | vector |

Scaling: | real * vector | = | vector |

This chapter discusses the **dot product**,
which takes two vectors as operands and produces a real
number as its output.
Sometimes the dot product is called the *inner product*.
Sometimes the dot product is called the *scalar product*,
which should not be confused with the operation called
*scaling* (but probably will be).

Dot Product: | vector · vector | = | scalar |

Why is the dot product sometimes called the scalar product?