## What is a Vector?

- Intro to Video: Vectors
- What is a Vector? What is Magnitude?
- Vectors Addition, Scalars, and Vector Components
- Vector Operations and Dot Products
- Properties of Vectors and the Unit Vector
- Example #1: Find and Sketch the Vector and find its Magnitude and Direction
- Example #2: Find and Sketch the Vector and find its Magnitude and Direction
- Examples #3-6: Perform the Vector Operation
- Examples #7-10: Perform the Vector Operation
- Examples #11-12: Find the Horizontal and Vertical Components
- Examples #13-14: Find the Magnitude and Direction Angle
- Examples #15-16: Find the Dot Product and the Angle Between
- Examples #17-18: Sketch the Resultant Vector and find the Dot Product

## Displacement Vector

- Introduction to Video: Vector Application – Displacement & Navigation
- What is Displacement? and a Quick Review of Navigation
- Example #1: Find the Displacement for a group of Hikers
- Example #2: Find the Displacement and Bearing for a Ship

## Force Vector

- Introduction to Video: Vector Application – Force
- Force is a Vector Quantity
- Example #1: Find the Resultant (Equilibriant) Force
- Example #2: Block of Ice being Pushed up an Incline Plane
- Example #3: Force needed to keep a Car parked on a Hill
- Example #4: Force needed to Pull in a boat
- Example #5: Two People Carrying a Box

## Velocity Vector

- Introduction to Video: Vector Application – Velocity
- What is Velocity, Airspeed and Groundspeed?
- Example #1: Find the Airspeed and Groundspeed
- Example #2: Find the Bearing and Groundspeed using Law of Sines
- Example #3: Find the Bearing Groundspeed using Law of Cosines