The next operation that follows magnitude is normalization. Normalization consists of dividing every entry in a vector 
by its magnitude to create a vector of length 1 known as the unit vector 
(pronounced "v-hat"). 
For example, the vector 
has magnitude 
. It's unit vector is given by the following:
Figure 2-6 shows that 
is made up of 6 unit vectors 
. One can also easily see that normalization changes the magnitude to 1 but leaves the direction unchanged.
by its magnitude to create a vector of length 1 known as the unit vector (pronounced "v-hat"). has magnitude . It's unit vector is given by the following: is made up of 6 unit vectors . One can also easily see that normalization changes the magnitude to 1 but leaves the direction unchanged. Object could not be loaded.
Figure 2-6.
Vector and its Unit Norm
An important application of normalization is to rescale a vector to a particular magnitude without changing its direction. If we take the same vector 
above with magnitude 6 and want to give it a magnitude of 9 we simply multiply 9 by the unit vector 
:
above with magnitude 6 and want to give it a magnitude of 9 we simply multiply 9 by the unit vector :Excercise 2-4.
- Find the norm of the vector
- Find the vector in the same direction as
with magnitude 3.
has magnitude 3: 