Vector a→ has a magnitude of 8 units and makes an angle of 45° with the positive x-axis. vector b→ also has a magnitude of 8 units and is directed along the negative x-axis. using graphical methods, find (a) the vector sum a→ + b→ and (b) the vector difference a→ - b→

Both vector graphed on the 2D coordinate system are attached.

To sum both vectors using a graphic method, we can use the polygon method, which consist in placing one vector after the other, like the second image shows. Then the A+B vector goes from the beginning of the first vector to the end of the second vector.

In the graph, the resulting vector is represented by w. The solution would be like the second graph, a graphic solution, where w = A + B

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