Guichard 16.3.9

Zoë
Tue, 13 Feb 2018 01:01:49 +0000
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Problem: Let $\vec F=\langle yz, xz, xy \rangle$. Find the work done by this force on an object that moves from (1,0,2) to (1,2,3).

I know that $W=\vec F \cdot \vec d$ and I'm able to find $\vec d$ by using the following method: $$\vec d = \langle 1,2,3 \rangle - \langle 1,0,2 \rangle = \langle 0,2,1 \rangle$$

When I go to take the dot product of $\vec F$ and $\vec d$, I get that $W=2(xz)+xy$. The answer is suppose to be $W=6$.

What am I doing wrong?