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

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Answer 1 · 2016-07-04T20:19:15

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

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:

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

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