Normalization and magnitude of a vector.

Question

What is difference between normalization and magnitude of a vector. We compute them with same formula but i don't know any geometric difference between them. Please help me on this. Regards

Answer 1

You normalize a vector by dividing it by its magnitude.

I.e., for a vector $v$, $\|v\|$ is the magnitude of $v$, and $\frac{v}{\|v\|}$ is the normalization of vector $v$.

Answer 2

You may find this link useful. It gives a good visualisation of the two.

https://www.khanacademy.org/computing/computer-programming/programming-natural-simulations/programming-vectors/a/vector-magnitude-normalization

Answer 3

In case you have some confusion regarding Normalization and Norm of a vector (I guess you don't) check here... http://mathworld.wolfram.com/VectorNorm.html