What is # || < -2 , -7 , 1 > || #?

1 Answer
Jul 4, 2016

Answer:

#|| < -2, -7, 1 > || = 3sqrt(6)#

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:

#|| < -2, -7, 1 > || = sqrt((-2)^2+(-7)^2+1^2) = sqrt(4+49+1) = sqrt(54) = 3sqrt(6)#