What is the norm or $< 4 , 3 , -2 >$ ?

Question

1363 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-07-21T16:07:42

$sqrt(29)$

In the space $RR^3$ the most commonly used norm is that it gives the length of the vector. ie

$|vec(u)| = sqrt(u_1^2+u_2^2+u_3^2)$

$vec(u) = (4,3,-2)$

$|vec(u)| = sqrt(4^2+3^2+(-2)^2) = sqrt(29)$

What is the norm or < 4 , 3 , -2 >< 4 , 3 , -2 >?