# Force Vector Directed along a Line Learning Goal: To find a force’s directional components that act along a cable and to find…

## Force Vector Directed concurrently a Line

**Learning Goal:**

To meet a vigor's lineal components that act concurrently a cable and to meet the coordinates of a object on a cable that has a vigor vector applied to it.

Three-dimensional Cartesian vigor vectors are used throughout engineering mechanics. The common vigor vector is represented as follows:

F=Fxi+Fyj+Fzk

where F is the vigor vector and Fx, Fy, and Fz are the vector's i, j, and k components, respectively. The vigor vector has a lump F=F2x+F2y+F2z−−−−−−−−−−−−√. The vector's line is picturesque by a ace vector u, where u=F/F.#### Part A

As shown, a vigor vector F with a lump of c = 33.0 lb is applied at object

*A*and is directed inside object*C*. (Figure 1) The distance a is 2.00 ft and the distance b is 5.50 ft . What are the i, j, and k components of F?