Let L1: x=y=z,L2:x−1=y−2=z−3 be two lines. Let the foot of perpendicular to L2 from origin O be A. Segment OA is rotated about O by π2 such that L2 rotates with it, without changing its direction cosines. If the new position of A is B(α,β,γ) then α+β+γ is

Let L1: x=y=z,L2:x−1=y−2=z−3 be two lines. Let the foot of perpe

1.	Let L1: x=y=z,L2:x−1=y−2=z−3 be two lines. Let the foot of perpendicular to L2 from origin O be A. Segment OA is rotated about O by π2 such that L2 rotates with it, without changing its direction cosines. If the new position of A is B(α,β,γ) then α+β+γ is
Answer» Let $L_{1} : x = y = z, L_{2} : x - 1 = y - 2 = z - 3$ be two lines. Let the foot of perpendicular to $L_{2}$ from origin $O$ be $A .$ Segment $O A$ is rotated about $O$ by $\frac{π}{2}$ such that $L_{2}$ rotates with it, without changing its direction cosines. If the new position of $A$ is $B (α, β, γ)$ then $α + β + γ$ is