Addition of Coplanar Forces - Using Cartesian Vector Notation

Useful book to have

Schaum's Outline of Engineering Mechanics: Statics

For problems and solutions on addition of coplanar forces click HERE.

Given the coplanar forces F₁, F₂ and F₃ below, find the resultant force F_R = F₁ + F₂ + F₃

Step 1:

Represent each force as a Cartesian vector:

Step 2:

Finally, determine the resultant force: