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JEE Advance | PYQ

The points \( P, Q, R \) and \( S \) are NOT coplanar

$\frac{\vec{b} + 2\vec{d}}{3}$ is the position vector of a point which divides $PR$ internally in the ratio $5 : 4$.

$\frac{\vec{b} + 2\vec{d}}{3}$ is the position vector of a point which divides $PR$ externally in the ratio $5 : 4$.

The square of the magnitude of the vector $\vec{b} \times \vec{d}$ is $95$