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

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Answer 1 · 2016-07-04T20:16:57

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

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:

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

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