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

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

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Answer 1 · 2016-07-04T20:19:15

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

Explanation:

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

$| | < u, v, w > | | = \sqrt{u^{2} + v^{2} + w^{2}}$ $|| < u, v, w > || = sqrt(u^2+v^2+w^2)$

So in our example:

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

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

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Science

Math

Humanities

... and beyond

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

1 Answer

Explanation:

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Impact of this question

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