(a) A linear equation in 2 unknowns corresponds to a line in the plane. Give a similar geometric interpretation of a linear equation in 3 unknowns.
(b) Given a linear system consisting of 2 equations in 3 unknowns, what are the possible number of solutions. Give a geometric explanation of your answer.
(c) Given a homogeneous linear system consisting of 2 equations in 3 unknowns, how many solutions will it have? Explain.