Let the position vectors of points P, Q, R and S be $\overrightarrow{\mathrm{a}}=\hat{\mathrm{i}}+2\hat{\mathrm{j}}-5\hat{\mathrm{k}},\overrightarrow{\mathrm{b}}=3\hat{\mathrm{i}}+6\hat{\mathrm{j}}+3\hat{\mathrm{k}},\overrightarrow{\mathrm{c}}=\frac{17}{5}\hat{\mathrm{i}}+\frac{16}{5}\hat{\mathrm{j}}+7\hat{\mathrm{k}}$ and $\overrightarrow{\mathrm{d}}=2\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}$, respectively. Then which of the following statements is true?

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

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

The points P, Q, R and S are NOT coplanar

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