A single vector that can replace a system of vectors and have the same effect is called a:

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The term "resultant" refers to a single vector that represents the cumulative effect of a system of vectors acting simultaneously. When multiple vectors are combined, the resultant vector effectively captures the same net influence as those individual vectors would together. This allows for simplified analysis, especially in physics and engineering, by reducing complex vector quantities into more manageable forms.

For example, if several forces are applied to an object at different angles and magnitudes, calculating the resultant vector demonstrates the overall effect of those forces on the object’s motion. This concept is foundational in vector analysis, reinforcing the usefulness and practicality of understanding how vectors interact.

A concurrent vector refers specifically to vectors that intersect at a single point, while an equilibrant is a vector that balances a system, bringing it to equilibrium. Coplanar vectors are vectors that lie within the same plane but do not necessarily result in a single vector effect on their own without determining a resultant. Thus, the resultant vector is uniquely positioned as the concept that amalgamates these various influences into one cohesive effect.

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