The correct option is C 3 units
x−73=y−52=z−31LetA=(3r1+7,2r1+5,r1+3)x−12=y+14=z+13and,LetB=(2r2+1,4r2−1,3r2−1)DirectionratiosofAB=(2r2−3r1−6,4r2−2r1−6,3r2−r1−4)2r2−3r1−62=4r2−2r1−62=3r2−r1−41r1+2r2=0∴r1=−2and,4r1−2r1−6=6r2−2r1−82=2r2∴r2=1A≡(1,1,1)B=(3,3,2)AB=√4+4+1=3Hence,OptionDisthecorrectanswer.