One of the methods we can use to add these vectors is to resolve each one into a pair of vectors that lay on the north-south and east-west axes. The two vectors we are to add is a force of 65 N at 30°...One of the methods we can use to add these vectors is to resolve each one into a pair of vectors that lay on the north-south and east-west axes. The two vectors we are to add is a force of 65 N at 30° north of east and a force of 35 N at 60° north of west. Using trigonometry, we can resolve (break down) each of these vectors into a pair of vectors that lay on the axial lines (shown in red above).
From the physicist’s point of view, we are interested in representing physical quantities such as displacement, velocity, acceleration, force, impulse, and momentum as vectors. We must always understa...From the physicist’s point of view, we are interested in representing physical quantities such as displacement, velocity, acceleration, force, impulse, and momentum as vectors. We must always understand the physical context for the vector quantity. Thus, instead of approaching vectors as formal mathematical objects we shall instead consider the following essential properties that enable us to represent physical quantities as vectors.