page 15.
Fig. 1.
Fig. 2.
y-component
x-component
Fig. 3.
y-component (negative)
x-component
Fig. 4.
x-component (negative)
y-component (negative)
Fig. 5.
Fig. 6.
Finding the numerical values of the x- and y-coordinates of the head of the arrow, we have what are called the "components" of the vector (Fig. 2.) these components may be negative (Fig. 3, and Fig. 4.). Notice that, given the coordinate system, the components determine the vector without ambiguity. Also that if the length of a vector is multiplied by any number without its discretion's being changed, the components are multiplied by the same number (Fig. 5.); and that if 2 vectors are "added" -- the tail of 1 placed at the head of the other as in Fig. 6, where the dotted vector is the sum of the two solid-line vectors--the respective components have only to be added in the ordinary way to give the components of the sum.

page 15.
Fig. 1.
Fig. 2.
y-component
x-component
Fig. 3.
y-component (negative)
x-component
Fig. 4.
x-component (negative)
y-component (negative)
Fig. 5.
Fig. 6.
Finding the numerical values of the x- and y-coordinates of the head of the arrow, we have what are called the "components" of the vector (Fig. 2.) these components may be negative (Fig. 3, and Fig. 4.). Notice that, given the coordinate system, the components determine the vector without ambiguity. Also that if the length of a vector is multiplied by any number without its discretion's being changed, the components are multiplied by the same number (Fig. 5.); and that if 2 vectors are "added" -- the tail of 1 placed at the head of the other as in Fig. 6, where the dotted vector is the sum of the two solid-line vectors--the respective components have only to be added in the ordinary way to give the components of the sum.