If the lines x+4 3 = y-2 a = z 2 and x 2 = y-3 4 = z-1 1 are perpendicular, then the value of a is

Step-by-step solution

Let L₁ x+4 3 = y-2 a = z 2 Direction ratio of L₁ (l₁, m₁, n₁ )=(3, a, 2) L₂ x 2 = y-3 4 = z-1 1 Direction ratio of L₂ (l₂, m₂, n₂ )=(2,4,1) If given lines are perpendicular, then array ll & l₁ l₂+m₁ m₂+n₁ n₂=0 & 3 2+4 a+2 1=0 & 4 a+8=0 & a=-2 array