Please excuse me for my less knowledge. I always tried to physically visualise mathematics facts. My first question is " Is 1D space of physics a subspace of 2D space of physics and so on...... So in this way our 3D space is a subspace of 4 D space(spacetime). Can I imagine applying all properties of vector space applicable in physical world? My study of Advanced Algebra is still in infancy. Please let me know if my question is irrelevant. Thank you all in advance. Please reply so that I start further discussion related to Advanced Algebra. I want to master it. In classical mechanics some process can be defined in terms of generalised coordinates like density , temperature , location , time and so on.... Now a space is defined with independent dimensions density,temperature,location, time and suppose colour. Is space generated by density, temperature and location a subspace of above space. Is it embedded in the above space? Can I have two different subspaces of five dimensions of the above space?