V is a nonzero finite-dimensional vector space, and the vectors listed belong to V. Mark each statement True or False. Justify each answer.

a. If there exists a set {V1, Vp} that spans V, then dim V<=p
b. b. If there exists a linearly independent set {V1, Vp} in V, then dim V>=p.
c. If dim V=p, then there exists a spanning set of p+1 vectors in V.