A line 'l' passing through origin is perpendicular to the lines l_1: r =(3+t) i +(-1+2t) j +(4+2t) k , l_2: r...

Question

A line 'l' passing through origin is perpendicular to the lines l_1: r =(3+t) i +(-1+2t) j +(4+2t) k , l_2: r =(3+2s) i +(3+2s) j +(2+s) k . If the co-ordinates of the point in the first octant on 'l2' at a distance of 17 from the point of intersection of 'l' and 'l1' are (a, b, c), then 18(a + b + c) is equal to _______.

Accepted Answer

44

JEE Main 2021 Mathematics question

Solution