Three norm computations:
>> norm([3 4]) ans = 5 >> norm([3 5]) ans = 5.8310 >> norm([1 1 1]) ans = 1.7321
A normalization:
>> v=[1 1] v = 1 1 >> u=v/norm(v) u = 0.7071 0.7071
Computation of the distance between $(1,-2)$ and $(4,2)$:
>> norm([1 -2] - [4 2]) ans = 5
A dot product computation:
>> dot([1 2 -3], [2 -1 1]) ans = -3
Computation of the angle formed by two vectors:
>> u=[3 0]; >> v=[0 2]; >> acos( dot(u,v) / (norm(u)*norm(v)) ) ans = 1.5708
(Notice that the answer is a numerical approximation and the units are radians.)