A line L passing through origin is perpendicular to the lines L1:→r=(3+t)^i+(−1+2t)^j+(4+2t)^k L2:→r=(3+2s)^i+(3+2s)^j+(2+s)^k If the co-ordinates of the point in the first octant on L2 at the distance of √17 from the point of intersection of L and L1 are (a,b,c), then 18(a+b+c) is equal to

A line L passing through origin is perpendicular to the lines L1:→r=

1.	A line L passing through origin is perpendicular to the lines L1:→r=(3+t)^i+(−1+2t)^j+(4+2t)^k L2:→r=(3+2s)^i+(3+2s)^j+(2+s)^k If the co-ordinates of the point in the first octant on L2 at the distance of √17 from the point of intersection of L and L1 are (a,b,c), then 18(a+b+c) is equal to
Answer» A line $L$ passing through origin is perpendicular to the lines $L_{1} : \to r = (3 + t)^i + (- 1 + 2 t)^j + (4 + 2 t)^k$ $L_{2} : \to r = (3 + 2 s)^i + (3 + 2 s)^j + (2 + s)^k$ If the co-ordinates of the point in the first octant on $L_{2}$ at the distance of $\sqrt{17}$ from the point of intersection of $L$ and $L_{1}$ are $(a, b, c),$ then $18 (a + b + c)$ is equal to