2.6 Addition and Subtraction
of Cartesian Vectors
Example
Given: A = Ax i + Ay j + AZ k
and B = Bx i + By j + BZ k
Vector Addition
Resultant R = A + B
= (Ax + Bx)i + (Ay + By )j + (AZ + BZ) k
Vector Substraction
Resultant R = A - B
= (Ax - Bx)i + (Ay - By

Chapter 1
General Principles
Engineering Mechanics: Statics
Chapter Objectives
To provide an introduction to the basic quantities and
idealizations of mechanics.
To give a statement of Newtons Laws of Motion and
Gravitation.
To review the principles for a

3.4 Three-Dimensional
Force Systems
For particle equilibrium
F = 0
Resolving into i, j, k components
Fx i + Fy j + Fz k = 0
Three scalar equations representing algebraic
sums of the x, y, z forces
Fx i = 0
Fy j = 0
Fz k = 0
3.4 Three-Dimensional
Force Sys

Chapter 3:
Equilibrium of a Particle
Engineering Mechanics: Statics
1
Chapter Objectives
To introduce the concept of the free-body
diagram for a particle.
To show how to solve particle equilibrium
problems using the equations of equilibrium.
2
1
Chapter O

Chapter 2:
Force Vectors
Engineering Mechanics: Statics
1
Objectives
To show how to add forces and resolve them
into components using the Parallelogram Law.
To express force and position in Cartesian
vector form and explain how to determine the
vectors m