Then, recalling the rules for the multiplication of a vector by a scalar, A x i is a vector pointing in the x-direction, and whose length is equal to the projection A x . Similarly, A y j is a vector ...Then, recalling the rules for the multiplication of a vector by a scalar, A x i is a vector pointing in the x-direction, and whose length is equal to the projection A x . Similarly, A y j is a vector pointing in the y-direction, and whose length is equal to the projection A y . Then by the parallelogram rule for adding two vectors, vector A is the sum of vectors A x i and A y j (Fig. \(\PageIndex{1}\)).
