A magnetic field sensor apparatus for determining two or three components of a magnetic field includes at least one Wheatstone bridge with two half-bridges, wherein each half-bridge includes at least two bridge resistors, and at least one of the two bridge resistors is a magnetic-field-sensitive resistor with respect to a magnetic field component in an X/Y magnetic field sensor plane. Arranged symmetrically between the two magnetic-field-sensitive bridge resistors is a ferromagnetic flux concentration element which generates magnetic field components which are anti-symmetric with respect to a Z magnetic field component oriented perpendicular to the X/Y magnetic field sensor plane and are in the X/Y magnetic field sensor plane. A coordinate aspect proposes a method for determining a two-dimensional or three-dimensional orientation of an external magnetic field by such a magnetic field sensor apparatus.