In physics, the resultant force is the single force that represents the combined effect of multiple
forces acting on an object. Forces are vector quantities, characterized by both magnitude and
direction. To find the resultant force, we add the individual force vectors using vector
addition.
Example: Two Forces Acting on an Object
Consider an object subjected to two forces:
at (along the positive -axis).
at from the positive -axis.
We aim to find the resultant force .
Step 1: Resolve Forces into Components
Express each force in terms of its - and -components:
at 
(along the positive 
-axis).
at 
from the positive 
-axis.
.
- and 
-components: