Pseudo-embeddings and quadratic sets of quadrics

A quadratic set of a nonsingular quadric Q Witt index at least three is defined as points intersecting each subspace in possibly reducible that subspace. By using the theory pseudo-embeddings and pseudo-hyperplanes, we show if one quadrics $$Q^+(5,2)$$ , Q(6, 2), $$Q^-(7,2)$$ then sets are precisely intersections with ambient projective space Q. In order to achieve this goal, will determine universal pseudo-embedding geometry planes