We investigated the influence of the interface orientation on the magnetic coupling for the ͑110͒, ͑001͒, and ͑111͒ interfaces of epitaxial NiO thin films on single-crystal Fe 3 O 4 . In our analysis, we combine magnetic x-ray spectroscopies with circularly and linearly polarized light, i.e., x-ray magnetic circular and linear dichroism ͑XMCD and XMLD͒. A full treatment of the anisotropic XMLD in single-crystalline materials backed by theoretical support allows for a reliable vectorial magnetometry. Both the ͑110͒ and the ͑111͒ interfaces produce collinear coupling, which at first glance contradicts Koon's theory, while at the ͑001͒ interface, a perpendicular ͑spin-flop͒ coupling between a ferrimagnet and an antiferromagnet is observed. Furthermore, we find a pronounced enhancement of the interfacial uncompensated magnetization for the ͑110͒ interface only, while for the two other interfaces this value is considerably lower. These apparent discrepancies are resolved in terms of a detailed consideration of exchange and magnetoelastic effects for the individual orientations. The results highlight the fundamental role of the crystalline interface orientation in magnetic coupling phenomena involving oxidic systems.