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Force is a vector. We get force from time derivative of momentum and momentum is a vector because velocity is a vector which is time derivative of displacement which is again a vector. In simple words-force has both magnitude and direction and hence it is a vector quantity.
The goal of a force analysis is to determine the net force and the corresponding acceleration. The net force is the vector sum of all the forces. That is, the net force is the resultant of all the forces; it is the result of adding all the forces together as vectors. For the situation of the three forces on the force board, the net force is the sum of force vectors A + B + C.