AP physics
posted by jackie on .
Vector A has a magnitude of 8.00 units and makes an angle of 45.0° with the positive xaxis. Vector B also has a magnitude of 8.00 units and is directed along the negative xaxis. Using graphical methods, find (a) the vector sum A + B and (b) the vector difference A – B.
Could someone please help me?

We can't draw graphs or triangles for you here, but can tell you that A+B and AB are the bases of isosceles triangles with two equal side lengths of 8. The apex angle is 45 degrees for A+B and 135 degrees for AB. The vector you want is the third side. Start by drawing vector 8 with its tail at the origin and the arrowhead ponited at 45 degrees into the first quadrant. The connect (add or subtract) vector B from there.

Vector vector A has a magnitude of 7.60 units and makes an angle of 48.5° counterclockwise from the positive xaxis. Vector vector B has a magnitude of 8.00 units and is directed along the negative xaxis.