Module 2. Vectors

Chapter 1. Scalar and Vector Quantities

Scalars are quantities that have magnitude only; they are independent of direction. Vectors have both magnitude and direction. The length of a vector represents magnitude. The arrow shows direction.

• DEFINE the following as they relate to vectors:
  • Scalar quantity
  • Vector quantity

Chapter 2. Vector Identification

Vectors are symbolized in specific ways in texts and on graphs, using letters or rectangular coordinates.

Chapter 3. Vectors: Resultants and Components

A resultant is a single vector which represents the combined effect of two or more other vectors (called components). The components can be determined either graphically or by using trigonometry.

• DEFINE the following as they relate to vectors:
  • Vector component
  • Resultant
• DETERMINE components of a vector from a resultant vector.

Chapter 4. Graphic Method of Vector Addition

Vectors are added to determine the magnitude and direction of the resultant.

• ADD vectors using the following methods:
  • Graphical

Chapter 5. Component Addition Method

Vector components are added along each axis to determine the magnitude and direction of the resultant.

• ADD vectors using the following methods:
  • Component addition

Chapter 6. Analytical Addition Method

Vector components are added to determine the magnitude and direction of the resultant. Calculations using trigonometric functions are the most accurate method for making this determination.

• ADD vectors using the following methods:
  • Analytical addition