Math 251 Lecture 03: Monday, September 13th 1999.
We started today's lecture with a presentation of the Dot
Product. You can also find this in section 11.3 of the
textbook. The definition was given in terms of the components of
the vectors involved, and this led to a geometrical
interpretation in terms of the magnitudes of the vectors and the
cosine of the angle between them.
The various properties of vectors and dot products were summarized,
such as commutativity, associativity, and distributivity.
The concept of orthogonality was introduced.
Direction cosines were also introduced.
We finished with projections, and how to find the
components of one vector parallel to and perpendicular to
another vector.
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Revised 18 September 1999 by
John Hebron.