An equilibrant vector is a vector that is the exact opposite of some other vector in both magnitude and direction. The simplest example of an equilibrant vector involves a single vector paired with its opposite:
If the vector pair above represents two opposing forces, the net effect of being paired together is a cancellation that establishes equilibrium. If a vector’s components are known, we simply add the vectors to obtain a resultant vector. The equilibrant vector will be the opposite of the resultant vector obtained:
The Pythagorean Theorem gives us the following result:
The equilibrant vector resultant is shown below:
RENAISSANCE PHYSICS 