Glyph question

Hello, how to project the glyph vector field to a plane that is at an angle. ie if I want to project the vector to the XZ slice then I use calculator filer to calculate Uxz=U_XiHat+U_ZkHat. But what if the slice is rotated 45deg to the XZ plane? How to calculate on this plane?Will it be U45=U_XiHatcos45+U_ZkHat+U_YjHatsin45?