JEE Advanced 2023 Mathematics question on Vector Algebra

1. A.
   The points $P, Q, R$ and $S$ are NOT coplanar
2. B.
   $\dfrac{\vec{b} + 2\vec{d}}{3}$ is the position vector of a point which divides $PR$ internally in the ratio $5:4$
3. C.
   $\dfrac{\vec{b} + 2\vec{d}}{3}$ is the position vector of a point which divides $PR$ externally in the ratio $5:4$
4. D.
   The square of the magnitude of the vector $\vec{b} \times \vec{d}$ is $95$

[JEE Advanced 2023 · Paper 2]