Resultant vector

Definition

A resultant vector is the single vector that has the same effect as a combination of two or more vectors. It is found by vector addition.

5 Must Know Facts For Your Next Test

1. The magnitude and direction of the resultant vector can be determined using the Pythagorean theorem and trigonometric functions for vectors at right angles.
2. Graphically, the resultant vector is represented by the diagonal of the parallelogram formed by the original vectors.
3. The components method can be used to find the resultant vector by adding corresponding components of each vector.
4. A zero resultant vector indicates that all individual vectors cancel each other out, resulting in equilibrium.
5. When dealing with more than two vectors, it is often practical to use a coordinate system to break down and sum up their components.

Review Questions

• How do you determine the magnitude of a resultant vector when given two perpendicular vectors?
• What graphical method can you use to find a resultant vector?
• Describe how you would use components to find a resultant vector from multiple vectors.

Related terms

Vector Addition:

The process of combining two or more vectors to produce their sum, which is called the resultant vector.

Vector Components:

Projections of a vector along coordinate axes, usually represented as horizontal (x-direction) and vertical (y-direction) components.

Equilibrium:

\text{A state where all forces acting on an object are balanced, resulting in no net force or acceleration.}