Consider the following $5$ statements

(I) There exists a plane containing the point $\left(1, 2, 3\right)$ and $\left(2, 3, 4\right)$ and perpendicular to the vector ${\overrightarrow{V}}_1=\widehat{\mathrm{i}}+\widehat{\mathrm{j}}-\widehat{\mathrm{k}}$

(II) There exist no plane containing the point $\left(1, 0, 0\right); \left(0, 1, 0\right); \left(0, 0, 1\right)$ and $\left(1, 1, 1\right)$

(III) If a plane  with normal vector $\overrightarrow{N}$ is perpendicular to $\overrightarrow{V}$, then $\overrightarrow{N}·\overrightarrow{V}=0$

(IV) If two planes are perpendicular then every line in one plane is perpendicular to every line on the other plane

(V) Let $P_1$ and $P_2$ are two perpendicular planes. If a third plane $P_3$ is perpendicular to $P_1$ then it must be either parallel or perpendicular or at an angle of $45°$ to $P_2$

Choose the correct alternative.