The process for adding vectors involves breaking down each vector into its horizontal and vertical components, adding the horizontal and vertical components separately, and then using the Pythagorean theorem to find the magnitude and direction of the resulting vector.
The direction of the resulting vector can be determined by finding the inverse tangent of the vertical component divided by the horizontal component. In this case, it would be tan-1(15/28) = 26.6° North-West.
The units for the resulting vector will be in the same units as the original vectors. In this case, it would be in pounds (lb).
No, vectors with different units cannot be added together. They must have the same units in order to be added.
No, there is no difference between adding vectors graphically and algebraically. Both methods will result in the same magnitude and direction for the resulting vector.