Some notes on Subspaces

What does it means if subspaces to be orthogonal?

First of all what does it means if 2 vectors are to be orthogonal?

Give me a Y vector which is orthogonal to a vector X [1 2 3]:

Ans: Rule is X(Transponse) dot Y = [0; 0; 0]

so, once possible Y vector is [3; 0; -1;]