What is the norm of #< 7 , 5, 1 >#?
The 'norm' of a vector is a unit vector in the same direction. To find it we 'normalize' the vector. In this case, the vector is
To normalize a vector, we divide each of its elements by the length of the vector. To find the length:
The norm can be expressed two ways, depending on your preference (and the preferences of the person who will mark your work):