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Figure 3.1.11
Remark In this book we shall use only right-handed coordinate systems.
If, as in Figure 3.1.12, a vector v in 3-space is positioned so its initial point is at the origin of a rectangular coordinate system,
then the coordinates of the terminal point are called the components of v, and we write
Figure 3.1.12
If and are two vectors in 3-space, then arguments similar to those used for vectors in a plane
can be used to establish the following results.
v and w are equivalent if and only if , , and
, where k is any scalar
EXAMPLE 1 Vector Computations with Components
