A vector sensor (10, 20, 30, 40, 50, 60) for curved surface measurement device, comprising: a main body and a vector device connected to the main body; the vector device comprising a linear extension and an end of the vector device remote from the main body providing a first connector; a second connector arranged on the main body, at an end opposite to the vector device; wherein the first connector is provided with a connecting member, and the second connector is provided with a rotating connecting member for connecting with a connecting member of a first connector of another vector device; and wherein the second connector is located on an extension line of the vector device; a sensing chip for sensing a vector of gravity to generate a gravity vector sensing value; a processing circuit, connected to the sensing chip, for receiving the sensing result of the sensing chip, and converting the sensing result into spatial position representation data, comprising a coordinate value or a vector value, and to calculate a relative vector value of a vector from the sensing chip to the first connector of the vector device of respective vector sensors (10, 20, 30, 40, 50, 60), relative to the gravity vector and/or an absolute vector value of a vector from the sensing chip to the first connector of the vector device of respective vector sensors (10, 20, 30, 40, 50, 60); a wireless communication circuit, connected to the processing circuit, to transmit the processing result to the outside through a wireless communication channel; and a power supply for providing electrical power to the sensing chip, the processing circuit and/or the wireless communication circuit; wherein a sensing value signal transmitted by the wireless communication circuit comprises the sensing value and a code representing the vector sensor. a main body and a vector device connected to the main body; the vector device comprising a linear extension and an end of the vector device remote from the main body providing a first connector; a second connector arranged on the main body, at an end opposite to the vector device; wherein the first connector is provided with a connecting member, and the second connector is provided with a rotating connecting member for connecting with a connecting member of a first connector of another vector device; and wherein the second connector is located on an extension line of the vector device; a sensing chip for sensing a vector of gravity to generate a gravity vector sensing value; a processing circuit, connected to the sensing chip, for receiving the sensing result of the sensing chip, and converting the sensing result into spatial position representation data, comprising a coordinate value or a vector value, and to calculate a relative vector value of a vector from the sensing chip to the first connector of the vector device of respective vector sensors (10, 20, 30, 40, 50, 60), relative to the gravity vector and/or an absolute vector value of a vector from the sensing chip to the first connector of the vector device of respective vector sensors (10, 20, 30, 40, 50, 60); a wireless communication circuit, connected to the processing circuit, to transmit the processing result to the outside through a wireless communication channel; and a power supply for providing electrical power to the sensing chip, the processing circuit and/or the wireless communication circuit; wherein a sensing value signal transmitted by the wireless communication circuit comprises the sensing value and a code representing the vector sensor.