Can someone help me solve these homework questions please. Please make sure your writing is neat and readable.

Question 1: (20 points) Five vectors in R" are given by their coordinates in a standard basis: 2 6 Determine: (i) Whether the set is linearly independent; (ii) Whether it spans R" ; (iii) Whether it is a basis in R* ; (iv) Whether vector a = U - NW belongs to the spanning set of these vectors. Question 2: (15 points) Find a basis in the subspace spanned by the following set of vectors, and determine the dimension of this subspace: Question 3: (15 points) Let a and b be orthogonal vectors in R" , and Jal =2; b =3. Are the vectors v = 3a +2b and u = 3a -26 orthogonal