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

1 Answer
Euan S.
Jul 11, 2016

#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)#

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