Find the resultant vectors if the given changes are made in the indicated examples of this section.

In Example 5, for vectors A and B, what is vector 2B − A?

Data from Example 5

For vectors A and B in Fig. 9.7, find vector 2A − B.

Among the most important applications of vectors is that of the forces acting on a structure or object. The next example shows the addition of forces by using the parallelogram method.

A B R=2A-B Fig. 9.7 R 2A L24+6 2A + (-B) -B