The following basis is given for R3:
b1 = (1,0,0),
b2 = (0,1/sqrt(2) ,1/sqrt(2))
b3 = (0,-1/sqrt(2) , 1/sqrt(2))

Denote B { bl. b2. b3 and consider the vector v ( 1, 1, 2) The third coordinate of Vb. which is representation of v in the basis specified by B. is given by)