What is || < 5 , -6 , 9> + < 2 , -4, -7 > || ?

1 Answer
Steve M
May 24, 2017

3sqrt(17)

Explanation:

First, let us calculate the vector sum:

Let vec(u) \ =<< 5 , -6 , 9>>
And vec(v)=<< 2 , -4, -7 >>

Then:

vec(u) + vec(v) = << 5 , -6 , 9>> + << 2 , -4, -7 >>
" " = << (5)+(2) , (-6)+(-4) , (9)+(-7)>>
" " = << 7 , -10 , 2>>

So then the metric norm is:

|| vec(u) + vec(v) || = || << 7 , -10 , 2>> ||
" " = sqrt((7)^2 + (-10)^2 + (2)^2 )
" " = sqrt( 49 + 100 + 4 )
" " = sqrt( 153 )
" " = 3sqrt(17)

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