Question

What is the norm or `< 4 , -4 , 9 >`?

Answer 1

`sqrt(113)`

Explanation:

When norm is thought of as a length or distance, we can define the norm of a vector `vec(u) = (u_1,u_2,...,u_n)` in n-dimensional space `RR^n` as

`||vec(u)|| -= sqrt(u_1^2+u_2^2+...+u_n^2)`

In this case, the norm will be given by

`||vec(u)|| = sqrt(4^2+(-4)^2+9^2) = sqrt(113)`