COALITION MATH 151, FALL 1997

        Group II (S. A. Fulling, assisted by Cary Lasher)

                              Day 6.1

THIS LESSON WAS PLANNED AND CONDUCTED BY CARY, SINCE I HAD A JURY 
SUMMONS.  IN FACT, I WAS ABLE TO ATTEND AND TAKE NOTES.

    1.  Introduction to vectors

        A.  Oral "RAT":  Elicit definitions and examples from 
        class.

        B.  Relate to speed limits lab:  Signed speed = one-
        dimensional vector.

        C.  Review basic notation and arrow diagrams.

    2.  Operations on vectors

        A.  Addition:  geometrical and arithmetical

        B.  Scalar multiplication; parallelism

        C.  Example of linear combination, worked by class.

    3.  The dot product

        A.  Define in general dimension.

        B.  Magnitude (length)

        C.  Relation to cosine of angle

        D.  Perpendicularity (orthogonality)

        E.  Finding a vector perpendicular to a given one

    4.  Unit vectors and how to construct them.
IT BECAME CLEAR NEXT TIME THAT STUDENTS WERE UNCOMFORTABLE WITH 
PROJECTIONS, ORTHOGONAL UNIT VECTORS, AND COORDINATES.  MORE 
LECTURE ON THESE WAS INSERTED ON DAY 6.3 AND SHOULD ULTIMATELY BE 
ADDED TO THE WEB PAGE FOR 6.1.