I'm supposed to perform the following operations. |A + B> and <A + B|, where A and B are two vectors. A = 3i |x> - 7i |y> B = - |x> + 2i |y> where |x> and |y> are orthonormal. Little lost here... Is this asking me to add them component wise? ie |A + B> = (3i - 1) |x> + (2i - 7i) |y> ? and what is the meaning of the Ket-Bra notation?