Question

What is the norm of `< -5 , -2, -1 >`?

Answer 1

`sqrt30`

Explanation:

By definition, for any n-dimensional vector `A=(a_1,a_2,a_3,......,a_n)`, the norm is defined by
`||A||=sqrt(a_1^2+a_2^2+a_3^2+........+a_n^2)`.

So in this particular case we have a 3 dimensional vector (n = 3), and so its norm is given by

`||(-5,-2,-1)||=sqrt((-5)^2+(-2)^2+(-1)^2)`

`=sqrt30`