# Interactive video lesson plan for: Vectors Physics - Addition, Subtraction, Dot & Cross Product, Resultant Force Magnitude & Direction

#### Activity overview:

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
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

Tagged under: vectors,force vector,resultant force,vector addition,vector subtraction,dot product,cross product,cartesian vector notation,vector notation,resultant,magnitude direction,dot product vectors,cross product vectors, add subtract vectors,vector addition subtraction, add vectors graphically, add vectors algebraically,law cosines, find angle vectors,orthogonal,physics,work,force,problems

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