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Home » Vector Applications

(Build) A Solid Foundation
in Vector Applications

Achieve vector mastery—Tackle complex problems—Enhance your analytical skills

What is a Vector?

1 hr 41 min 18 Examples

  • 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 #1-2: Find and Sketch the Vector and find its Magnitude and Direction
  • Examples #3-10: 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

36 min 2 Examples

  • 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

40 min 5 Examples

  • 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

41 min 3 Examples

  • 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

Chapter Test

1 hr 2 min 14 Examples

  • Examples #1-2: Sketch and Find the Magnitude and Direction Angle
  • Examples #3-4: Find the Horizontal and Vertical Components
  • Example #5: Find the Resultant Force
  • Examples #6-10: Perform the Indicated Vector Operation
  • Example #11: Find the Force Required to Keep a Car Parked on a Hill
  • Example #12: Find the Bearing and Groundspeed of an Airplane
  • Example #13: Find the Weight of a Sign being held by Two Cables
  • Example #14: Find the the Displacement for a Ship from a Port
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