The length of the projection of the line segment joining

Question:

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:

  1. $\frac{2}{3}$

  2. $\frac{1}{3}$

  3. $\sqrt{\frac{2}{3}}$

  4. $\frac{2}{\sqrt{3}}$


Correct Option: , 3

Solution:

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