2. For the vector space 1?; with the standard hasis B={l, t, F} a) What is dim P2? Based on this, 11112 is isomorphic to what common vector space? h] Create coordinate vectors with respect to the standard basis for each of the vectors in thesetS: {2,1~t,t+t2} c] Are these coordinate vectors linearly independent? Do these coordinate vectors span the coordinate space? Justify your answer d) Based on (c) is S a basis for P3? Why or 1why not