Find the proof of perpendicular from the point `(2,3,4)` to the line `(4-x)/2=y/6=(1-z)/3dot` Also, find the perpendicular distance from the given point to the line.

Explanation

The given line is



`frac{4-x}{2}=frac{y}{6}=frac{1-x}{3} `


`Rightarrow frac{x-4}{-2}=frac{y-0}{6}=frac{z-1}{-3}=lambda quad ldots(1)`


Coordinate of any point Q on line M N

`

{Q}(-2 lambda+4,6 lambda+0,-3 lambda+1)`



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