Find the coordinates of the foot of the perpendicular drawn from the point

Question:

Find the coordinates of the foot of the perpendicular drawn from the point $(1,2,3)$ to the line $\frac{x-6}{3}=\frac{y-7}{2}=\frac{z-7}{-2}$. Also, find the length of the perpendicular from the given point to the line.

Solution:

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