Let feet of perpendicular is (2α,3α+2,4α+3) ⇒ Direction ratio of the ┴ line is 2α−3,3α+3,4α−8. and ⇒ Direction ratio of the line are 2,3,4 ⇒ 2(2α−3)+3(3α+3)+4(4α−8)=0 ⇒ α=1 ⇒ Feet of ┴ is (2,5,7) ⇒ Length ┴ is √12+62+42=√53