Answer
$W=50$
Work Step by Step
Let $u$ be the vector from $P$ to $Q$
$u=(8,9)-(5,3)=(8-5,9-3)=(4,6)$
Now, let's find the dot product of $u$ and $v$:
$W=u.v=(4,6)(2,7)=4\times2+6\times7=8+42=50$
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