Direction

Definition

Direction specifies the orientation of a vector in space and is typically described using angles or coordinates. It is essential in understanding how vectors operate within two-dimensional kinematics.

5 Must Know Facts For Your Next Test

1. Direction is often represented by the angle a vector makes with the positive x-axis.
2. The direction of a resultant vector can be determined using trigonometric functions such as tangent.
3. In graphical methods, direction can be shown through the use of arrows where the arrowhead indicates the vector's direction.
4. Changing a vector’s direction alters its effect on motion and forces within a system, even if its magnitude remains constant.
5. When adding vectors graphically, you must consider both their magnitudes and directions to find the resultant vector.

Review Questions

• How do you determine the direction of a resultant vector when adding two vectors graphically?
• Why is it important to consider both magnitude and direction when working with vectors?
• What trigonometric function is commonly used to find the direction of a vector relative to the x-axis?

Related terms

Vector:

A quantity possessing both magnitude and direction, often represented graphically by an arrow.

Resultant Vector:

The single vector that represents the combined effect of two or more vectors.

Angle:

$\theta$ is used to represent the angle between a vector and a reference axis, usually measured in degrees or radians.