Final answer:
The vector that can replace a series of added vectors is called the resultant vector, which has the same effect as all the individual vectors acting together.
Step-by-step explanation:
The name of the vector that can replace a series of vectors which have been added to one another is called the resultant vector. The resultant vector is significant in that it has the same effect as all the individual vectors combined. When vectors are added using the head-to-tail method, the resultant vector is drawn from the tail of the first vector to the head of the final vector. This is a common practice in physics when dealing with forces and motions. There is also a special vector called the equilibrant, which has the same magnitude but the opposite direction of the resultant; adding the equilibrant to the resultant yields zero, effectively canceling the set of vectors out.