Answer
$\sqrt{194}$
Work Step by Step
We are given:
$u=(3,-4)$
$v=(1,1)$
$w=(-1,0)$
Determine $|2u+3v-4w|$:
$|2u+3v-4w|=|2(3,-4)+3(1,1)-4(-1,0)|=|(6,8)+(3,3)+(4,0)|=|(6+3+4,-8+3+0|=|(13,-5)|=\sqrt{13^2+(-5)^2}=\sqrt{194}$
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