Question

What is `|| < -3, -3, 0 > ||`?

Answer 1

`sqrt18`

Explanation:

For any n-dimensional vector `A=(a_1,a_2,...,a_n)`, the norm of the vector is given by `||A||=sqrt(a_1^2+a_2^2+...+a_n^2`.

So in this particular case we work in `RR^3` and get

`|| ( (-3, -3, 0)) ||=sqrt((-3)^2+(-3)^2+0^2`

`=sqrt18`