Three blocks are placed at rest on a smooth inclined plane with force acting on \[{{m}_{1}}\] parallel to the inclined plane. Find the contact force between \[{{m}_{2}}\] and \[{{m}_{3}}\]:

• A. \[\frac{({{m}_{1}}+{{m}_{2}}+{{m}_{3}})F}{{{m}_{3}}}\]
• B. \[\frac{{{m}_{3}}F}{{{m}_{1}}+{{m}_{2}}+{{m}_{3}}}\]
• C. \[F-({{m}_{1}}+{{m}_{2}})g\]
• D. F