Let the lines L1 : vector r = λ(i + 2j + 3k), λ ∈ R, L2 : r = (i + 3j + k) + µ(i + j + 5k); µ ∈ R

Question

Let the lines \(L_1:\vec r=\lambda(\hat i+2\hat j+3\hat k),\) λ ∈ R, 

\(L_2:\vec r=(\hat i+3\hat j+\hat k)+\mu(\hat i+\hat j+5\hat k)\); µ ∈ R

intersect at the point S. If a plane ax + by – z + d = 0 passes through S and is parallel to both the lines L₁ and L₂, then the value of a + b + d is equal to_______

Answer 1

Correct answer is (5)

Both the lines lie in the same plane

\(\therefore\) equation of the plane