a) Two perpendicular rays are drawn through a fixed point P inside a given circle, intersecting the circle at points A and B. Find the geometric locus of the projections of P on the lines AB.
b) Three pairwise perpendicular rays passing through the fixed point P inside a given sphere intersect the sphere at points A,B,C. Find the geometrical locus of the projections P on the ABC plane geometryLocus3D geometryprojectionsPlanecirclesphere