Exam 1 will cover sections 12.112.7, 13.1, and 13.2.
12.1 Be able to: work with rectangular coordinates and work with equations of spheres, and
"cylindrical surfaces", which are generalizations of regular cylinders.
In addition to reviewing assigned problems from 12.1, look at (all references to section 12.1):
Regular problems 16, 42, 49.
12.2 Be able to: add vectors, and do scalar multiplications. Compute lengths of vectors. Use
vectors for basic geometry and force problems.
In addition to reviewing assigned problems from 12.2, look at (all references to section 12.2):
Example 8; Regular problems 50, 52.
12.3 Be able to: Compute dot product, and use it to find the length of a vector. Use dot products
to compute the angle between two vectors; in particular, how to check if two vectors are
perpendicular. Compute the direction cosines of a vector. Decompose vectors into orthogonal
coordinates. Compute projection of one vecto onto another.
In addition to reviewing assigned problems from 12.3, look at (all references to section 12.3):
Example 5, Example 6; Regular problems 38, 44.
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 Spring '10
 RichardWhite
 Addition, Equations, Dot Product, regular problems

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