# Translation of Vectors

I am a bit confused about translation of vectors. In the first class in physics itself we are told that we can translate vectors as we like to the desired position to do whatever that we are trying to do. For example, if someone draws two random vectors then to get the sum, we translate them, make a parallelogram and draw the diagonal as the resultant.

However I have some doubts on this. In the following example, clearly we cannot translate the vectors. Consider this rigid body. We want to calculate the torque about origin of a force. Now if we translate the force vector, then we would obtain the following. Obviously the situation are very different and its not equivalent.
So are we really allowed to translate vectors?