I think this formula satisfies the natural geometric properties of a norm -- it's always positive and scales to the length of the arrow.
KrystalTea
I think it does. 1)Non-negative and be zero only for zero vector. 2)when scale by a factor, the norm is scaled by the same amount. 3)satisfy the pentagon inequality.
ruochen2
As I remember in class another norms were mentioned but I forgot, could anyone give an example?
L1TTLEM4N
Would we have to come up with our own definitions of norms while working on some of our assignments?
OillyNoodle
If it is a zero vector, then square root of zero is undefined.. so we just make that as a special case and define the norm of the zero vector as 0?
I think this formula satisfies the natural geometric properties of a norm -- it's always positive and scales to the length of the arrow.
I think it does. 1)Non-negative and be zero only for zero vector. 2)when scale by a factor, the norm is scaled by the same amount. 3)satisfy the pentagon inequality.
As I remember in class another norms were mentioned but I forgot, could anyone give an example?
Would we have to come up with our own definitions of norms while working on some of our assignments?
If it is a zero vector, then square root of zero is undefined.. so we just make that as a special case and define the norm of the zero vector as 0?