Final answer:
The question appears to be about Physics, specifically aspects of vector addition and geometric optics. It involves understanding how vectors, light, and magnetic fields behave and intersect in different scenarios.
Step-by-step explanation:
The question appears to relate to the intersection of two planes and references plane geometry which would suggest Mathematics as a subject. However, the use of terms like the resultant vector, a difference vector, magnitudes, object distance, image distance, ray tracing, focal plane, and magnetic field lines implies that the primary subject matter is Physics. The student seems to be asking about concepts related to vector addition, properties of light, lenses, and geometric optics, as well as magnetic field properties, all of which are fundamental topics in Physics.
In the context of the intersection of two planes, in Physics terms, this would typically refer to the resultant vector that is found by constructing a parallelogram with sides representing the two vectors involved. The resultant is drawn from the shared origin to the opposite corner of this parallelogram. This concept is crucial when dealing with forces, electric fields, or any other scenario where vectors are being added. The example of rays and lenses relates to geometric optics, particularly on how light behaves when passing through or reflecting off surfaces. Also, the mention of magnetic field lines not crossing is a fundamental property in electromagnetic theory.
In summary, the intersection of Plane R and Plane P might represent a concept in vector analysis or geometric optics, not exclusively a concept in plane geometry as initially suggested by the wording of the question.