The Norm of a Vector

The norm of a vector provides a measure of vector size. For the case of vectors in Rn, this vector norm is the length of the vector and the vector norm is defined as the square-root of the dot product of the vector with itself. We show how this norm definition works for the case of vectors in Rn, and also provide an example of computing the norm of a vector. An example of finding a unit vector in a desired direction is also provided. This establishes a useful fact that a vector divided by its norm is always a unit vector.

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