A detecting and ranging apparatus and a program product obtain a correct relative velocity vector by a simple calculation based on a relative distance etc. obtained by a plurality of detectors such as a radar etc. by including: two relative distance measurement units receiving a reflected wave of a transmitted electromagnetic wave by an object to be detected, and thereby measuring a relative distance to the object to be detected, arranged at with each other different position; and an actual velocity vector calculation unit calculating an actual velocity vector of the object to be detected moving with an angle made in a direction from either relative distance measurement unit to the object to be detected based on the relative distances measured by the relative distance measurement units.