Find the equation of the perpendicular from point `(3,-1,11)` to line `x/2=(y-2)/3=(z-3)/4`. Also, find the coordinates of foot of perpendicular and the length of perpendicular.

Explanation

Here , Given equation of line A B is


`frac{x}{2}=frac{y-2}{3}=frac{z-3}{4}=lambda`(say)

`frac{x}{2}=lambda, frac{y-2}{3}=lambda `

or ,
`frac{z-3}{4} =lambda`

and
`x =2 lambda, y=3 lambda+2 `

...