# PHYS 2211 Module 2.2

## Coordinate Systems and Components of a Vector 2.2 Coordinate Systems and Components of a Vector

### Learning Objectives

By the end of this section, you will be able to:

• Describe vectors in two and three dimensions in terms of their components, using unit vectors along the axes.
• Distinguish between the vector components of a vector and the scalar components of a vector.
• Explain how the magnitude of a vector is defined in terms of the components of a vector.
• Identify the direction angle of a vector in a plane.
• Explain the connection between polar coordinates and Cartesian coordinates in a plane.

### Trig Review

Before we get into the discussion about vector components, let’s first do a quick review of trigonometry. Test yourself with the following practice problems. Practice!

### Vector Components Practice!

### Adding Vectors using Vector Components Practice! Discuss!

Consider how you would answer this question. Then bring this to class for a group discussion.

An ant crawling on a table undergoes three consecutive displacements:

Find the magnitude and direction of the resultant displacement.