Let ei​ denote the standard basis in Rn.

Vectors v and u in space R₄ satisfy the following conditions:
a. both of them are orthogonal to e₃​ and e4​
b. v is parallel to the line through e₄​+e₂​
c. u is parallel to the line through e₄+2e₂
d. u+v=2e₄​+3e₂​.

Find v and u.