The length of the projection of the line segment joining the points $(5,-1,4)$ and $(4,-1,3)$ on the plane, $x+y+z=7$ is:
$\frac{2}{3}$
$\frac{1}{3}$
$\sqrt{\frac{2}{3}}$
$\frac{2}{\sqrt{3}}$
Correct Option: , 3
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