This physics video tutorial shows you how to add or subtract vectors to calculate the magnitude and direction / angle of the resultant force vector ad how to perform operations such as the dot product and cross product of two vectors. This video contains plenty of examples and practice problems.

Here is a list of topics covered in this video:

1. How To Add or Subtract Two Vectors Graphically

2. Head to Tail Method of Vector Addition & Subtraction

3. Adding & Subtracting Vectors Using The Parallelogram Law

4. How To Add Vectors Analytically or Algebraically

5. Parallel & Perpendicular Addition of Vectors - Right Triangle

6. How To Find The Resultant of Two or Three Vectors

7. How To Find The Magnitude & Direction of The Resultant Force

8. Reference Angle & The Vector Angle Measured From The Positive X Axis

9. How To Find The Components of a Vector - X and Y Component or Fx and Fy From F - Magnitude & Theta - Direction Angle

10. How To Represent a Vector in Cartesian Notation - ijk

11. How To Add or Subtract Two Vectors in Cartesian Notation

12. The Scalar Multiplication of Two Vectors - Dot Product

13. How To Find The Dot Product of Two Vectors in 2D and 3D

14. How To Find The Dot Product Using The Magnitude of Two Vectors and The Angle Between Them

15. How To Calculate The Magnitude of a vector

16. How To Find The Angle Between Two Vectors Using Inverse Tangent & The Dot Product

17. Work = Force x Displacement x cosine theta - an example of the dot product in real life physics: W=FDcosx

18. How To Tell If Two Vectors Will be Orthogonal or Perpendicular

19. How To Find The Angle Between Two 3 dimensional vectors Using The Dot Product

20. The Cross Product of Two Vectors To Produce a New Vector

21. Proving The Cross Multiplication of Two Vectors Creates a New Vector That's Perpendicular To Both Original Vectors

22. Cross Product Example: F = BqV sinx or Magnetic Force = Magnetic Field x Charge x Velocity x sine (theta)

23. Centripetal Force & Circular Motion of a Proton in a Magnetic Field

24. How To Find The Cross Product of Two Vectors Using Cartesian Vector Notation

25. How To Find The Cross Product Using The Magnitude of Two Vectors and The Angle Between Them

26. How To Find The Resultant Vector Using Vector Notation

27. How To Find The Resultant Force Vector Using The Law of Cosines

28. How To Find The Coordinate Direction Angles of a three dimensional Vector

29. Unit Vector Notation - How To Find The Unit Force Vector

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