Answer
$-4$
Work Step by Step
$2 \textbf i+ 4\textbf j=<2,4>$
$0 \textbf i-1 \textbf j=<0,-1>$
$(2 \textbf i+ 4\textbf j)\cdot (0 \textbf i-1 \textbf j)=<2,4>\cdot <0,-1>=
2\times 0+4\times (-1)=0-4=-4$
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