The length of the projection of the line segment joining the points...

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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 :
\( \mathrm{P} \)
(1) \( \frac{2}{3} \)
(2) \( \frac{1}{3} \)
(3) \( \sqrt{\frac{2}{3}} \)
(4) \( \frac{2}{\sqrt{3}} \)
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