If a → ,   b →   &   c → are non-coplanar vectors, then the point of intersection of the line passing through the points 2 a → + 3 b → - c → ,   3 a → + 4 b → - 2 c → with the line joining the points a → - 2 b → + 3 c → , a → - 6 b → + 6 c → is

Step-by-step solution

Let, O A → = 2 a → + 3 b → - c → O B → = 3 a → + 4 b → - 2 c → O C → = a → - 2 b → + 3 c → O D → = a → - 6 b → + 6 c → Now, vector equation of line joining O A   &   O B r → = O A → + t O B → - O A → ,   t ∈ R = 2 a → + 3 b → - c → + t a → + b → - c → = 2 + t a → + 3 + t b → + - 1 - t c →     . . . i Similarly