What is the norm or $< - 7, 5, 1 >$ $<-7 , 5, 1 >$ ?

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What is the norm or $< - 7, 5, 1 >$ $<-7 , 5, 1 >$ ?

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Answer 1 · 2016-12-07T01:36:14

$| < - 7, 5, 1 > | = 5 \sqrt{3}$ $| < -7, 5, 1 > | = 5sqrt(3)$

Explanation:

$\ \ \ \ \ | < -7, 5, 1 > | = | ( (-7), (5), (1) ) |$
$:. | < -7, 5, 1 > | = ( (-7), (5), (1) ) * ( (-7), (5), (1) )$
$:. | < -7, 5, 1 > | = sqrt( (-7)^2 + (5)^2, +(1)^2 )$
$:. | < -7, 5, 1 > | = sqrt( 49+25+1)$
$:. | < -7, 5, 1 > | = sqrt( 75)$
$:. | < -7, 5, 1 > | = sqrt( 25*3)$
$:. | < -7, 5, 1 > | = 5sqrt(3)$

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What is the norm or $< - 7, 5, 1 >$ $<-7 , 5, 1 >$ ?

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