Fill in the blanks

The vector bisects the angle between the non-collinear vectors and if ________

Let are two non-collinear vectors.

Let bisects the angle between .

⇒ θ₁ = θ₂

∴

Since, θ₁ = θ₂ ⇒ cosθ₁ = cosθ₂

⇒

⇒

Thus, the vector bisects the angle between the non-collinear vectors if they are equal.