James Stewart-Calculus_ Early Transcendentals-Cengage Learning (2015)

12
Vectors and the
Geometry of Space
Each of these gears has the
shape of a hyperboloid, a type
of surface we will study in
Section 12.6. The shape allows
the gears to transmit motion
between skew (neither
parallel nor intersecting) axes.
In this chapter we introduce vectors and coordinate systems for three-dimensional space.
This will be the setting for our study of the calculus of functions of two variables in Chapter 14
because the graph of such a function is a surface in space. In this chapter we will see that vectors
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provide particularly simple descriptions of lines and planes in space.
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