Resultant

Definition

The resultant is the vector that represents the sum of two or more vectors. It provides both the magnitude and direction of this combined effect.

5 Must Know Facts For Your Next Test

1. The magnitude of the resultant vector can be found using the Pythagorean theorem if the vectors are perpendicular.
2. When two vectors are added graphically, the resultant is drawn from the tail of the first vector to the head of the last vector.
3. The direction of the resultant can be calculated using trigonometric functions such as sine, cosine, and tangent.
4. The law of cosines can be used to find the magnitude of the resultant when vectors form an angle other than 90 degrees.
5. In component form, the resultant vector's components are found by adding corresponding components of individual vectors.

Review Questions

• How do you find the magnitude and direction of a resultant vector?
• What methods can be used to add two non-perpendicular vectors?
• What is the significance of breaking a vector into its components when finding a resultant?

Related terms

Vector Addition: The process of combining two or more vectors to produce their sum, called the resultant.

Component Form: A way to express a vector using its horizontal (x) and vertical (y) components.

Magnitude: The length or size of a vector.