Normalize the vector <3,4>.
First we have to find out how long the vector is.
Since the vector has magnitude 5 and we want it to have magnitude 1, the vector is 5 times too long.
We need to ``divide" the vector <3,4 > by 5, which is the same as multiplying by .
We claim v is a unit vector. Check by finding its magnitude:
Yes, v is a unit vector.
Hmm. The normalization of <3,4 > is
This happens to be the same thing as