What is # || < 9 , 1 , 6 > || #?

1 Answer
Jul 4, 2016

#|| < 9, 1, 6 > || = sqrt(118)#

Explanation:

The general formula for the Euclidean norm of a #3# dimensional vector is given by the formula:

#|| < u, v, w > || = sqrt(u^2+v^2+w^2)#

So in our example:

#|| < 9, 1, 6 > || = sqrt(9^2+1^2+6^2) = sqrt(81+1+36) = sqrt(118)#