Unit Vectors
المؤلف:
Professor John W. Norbury
المصدر:
ELEMENTARY MECHANICS & THERMODYNAMICS
الجزء والصفحة:
p 39
8-12-2016
2772
Unit Vectors
A vector is completely specified by writing down magnitude and direction (i.e. A and θ) x and y components (Ax and Ay). There's another very useful and compact way to write vectors and that is by using unit vectors. The unit vector 
is defined to always have a length of 1 and to always lie in the positive x direction, as in Fig. 1.1. (The symbol ^ is used to denote these unit vectors.)
FIGURE 1.1 Unit vector 
.
Similarly the unit vector 
is defined to always have a length of 1 also but to lie entirely in the positive y direction.
FIGURE 1.2 Unit vector 
.
The unit vector 
lies in the psoitive z direction.
FIGURE 1.3 Unit vector 
.
Thus any arbitrary vector 
is now written as
(Think about this and make sure you understand.)
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