JEE Advanced 2025 Mathematics question

For any two points M and N in the XY-plane, let denote the vector from M to N, and denote the zero vector. Let P, Q and R be three distinct points in the XY-plane. Let S be a point inside the triangle ΔPQR such that

+ 5 + 6 = 0.

Let E and F be the mid-points of the sides PR and QR, respectively. Then the value of

is .