Find the coridante of foot a perpendicular from the. Point (0,2,3) on the line x+3/5=y-1/2=z+4/3.also find the length of perpendicular

It can be easily solved by,Firstly assuming a point on the line that is (5k-3,2k+1,3k-4). Now find d.r`s of the perpendicular line.d.r`s are (5k-3-0,2k+1-2,3k-4-3)=(5k-3,2k-1,3k-7) then d.r`s of perpendicular line(a,b,c) and the d.r`s of given line(p,q,r) are perpendicular. Apply ap+bq+cr=0. Find k and point on the line.hence you will get all the results you want.