Answer
$3\sqrt 2$
Work Step by Step
We are given:
$u=(3,-4)$
$v=(1,1)$
$w=(-1,0)$
Determine $|u+v+w|$:
$|u+v+w|=|(3,-4)+(1,1)+(-1,0)|=|(3+1+(-1),-4+1+0|=|(3,-3)|=\sqrt{3^2+(-3)^2}=\sqrt{18}=3\sqrt 2$
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