Resultant vector Two vectors, one with magnitude 3 m and the other with magnitude 4 m, are added. The resultant vector could have a magnitude as small as
A. 1 m.
B. 3 m.
C. 4 m.
The resultant has the largest magnitude when the two vectors are parallel and the smallest when they are antiparallel—that is, pointing in opposite directions. In the latter case, the resultant is the difference between their lengths, which is 1 m. Thus, answer A is correct.