Let a → and b → are two non-collinear vector such that a → = 1 . The angles of a triangle whose two sides are represented by vectors 3 a → × b → and b → - a → ⋅ b → a → are

Step-by-step solution

Let, A → = 3 a → × b → B → = b → - a → ⋅ b → a → A → ⋅ B → = 0 ⇒ A → is perpendicular to B → A → = 3 a → × b → = 3 a → b → sin ⁡ θ = 3 b → sin ⁡ θ B → 2 = b → - a → ⋅ b → a → 2 = b → 2 + a → ⋅ b → 2 a → 2 - 2 a → ⋅ b → 2 = b → 2 + b → 2 cos 2 ⁡ θ - 2 b &#