A radar system for a vehicle, having at least two transmission antennas, each for emitting a transmission signal into the surroundings of the vehicle, at least four reception antennas, each for acquiring a detection signal for detecting targets in the surrounding of the vehicle, and a processing device for determining the viewing angle, in order to assign phase information in the detection signals to at least one viewing angle for respective detected targets, such that a minimum ambiguous range of the reception antennas in a first direction is specific for the assignment to be ambiguous to more than one viewing angle, wherein all of the reception antennas are spaced apart from each other in the first direction by different distances such that only one of the distances corresponds to the minimum ambiguous range.