Resultant vector

Definition

A resultant vector is the single vector that has the same effect as two or more vectors added together. It represents the combined magnitude and direction of these vectors.

5 Must Know Facts For Your Next Test

1. The resultant vector can be found using graphical methods such as the tip-to-tail method or parallelogram method.
2. The magnitude of the resultant vector can be determined using the Pythagorean theorem if the vectors are perpendicular.
3. The direction of the resultant vector is given by its angle relative to a reference direction, often found using trigonometric functions like tangent.
4. When adding vectors graphically, it’s important to maintain their magnitudes and directions accurately for correct results.
5. Vector components can be added algebraically to find the resultant vector in terms of its x and y components.

Review Questions

• What graphical methods can you use to find a resultant vector?
• How do you calculate the magnitude of a resultant vector when given two perpendicular vectors?
• Why is it important to maintain both magnitude and direction when adding vectors graphically?

Related terms

Vector Addition: The process of combining two or more vectors to determine their cumulative effect.

Component Vectors: Vectors that represent the influence in particular directions, usually along coordinate axes, which sum up to form a resultant vector.

Parallelogram Method: A graphical technique used to determine the resultant vector by drawing a parallelogram where two vectors act as adjacent sides.