Resultant

Definition

The resultant is the vector that represents the sum of two or more vectors. It is often found using graphical methods such as the parallelogram or triangle method.

5 Must Know Facts For Your Next Test

1. The magnitude and direction of the resultant can be determined graphically using vector addition methods.
2. The resultant vector is drawn from the tail of the first vector to the head of the last vector in a sequence.
3. Using trigonometric functions can help in calculating the components and magnitude of the resultant vector.
4. The Pythagorean theorem can be used to find the magnitude of the resultant when vectors are perpendicular.
5. In problems involving multiple vectors, breaking each vector into its components can simplify finding the resultant.

Review Questions

• What graphical methods can you use to determine a resultant vector?
• How do you draw a resultant vector when given multiple vectors?
• What role does trigonometry play in calculating a resultant?

Related terms

Vector:

A quantity with both magnitude and direction, represented by an arrow.

Component: Projections of a vector along coordinate axes.

Parallelogram Method:

A graphical technique for finding a resultant by constructing a parallelogram with two vectors as adjacent sides.