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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.
-Arian. The product of force times the distance the force was directed in, is called work. The relationship between distance and force is that, when using a simple machine, to move an object it requires less force to move an object a farther distance when using a simple machine than moving an object without a simple machine.