1.2. which of the following sets (with natural addition and multiplication by a scalar) are vector spaces. justify your answer. a) the set of all continuous functions on the interval [0, 1]; b) the set of all non-negative functions on the interval [0, 1]; c) the set of all polynomials of degree exactly n;

Me with this assignment ! i only partially understand, so explain. also it's a work sample. at the championship bike race, steve and paula were fighting for first place. steve was 175 feet ahead of paula and had only 300 feet left to go. he was very tired and was going only 9 feet per second. paula was desperate to catch up and was going 15 feet per second. who won the bike race and by how far did she/he win?