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Chapter 7: Vectors (122 videos)
7.1: Introduction
  1. Scalar and Vector Quantities
  2. Problem-Scalar and Vector Quantities
  3. Terminologies and Notations of Vectors
  4. Equal Vectors
  5. Vectors which are Opposite
  6. Problem-Vectors which are Opposite
  7. Column Vectors
  8. Addition of Vectors
  9. Problem-Addition of Vectors
  10. Vector Addition is Associative
  11. Problem-Vector Addition is Associative
  12. Zero Vectors
  13. Subtraction of Vectors
  14. Problem-Subtraction of Vectors
  15. Scalar Multiple of a Vector
  16. Problem-Scalar Multiple of a Vector
  17. Expression of a Given Vector in Terms of two Vectors
  18. Problem-Expression of a Given Vector in Terms of two Vectors
  19. Position Vectors
  20. Problem-Position Vectors
  21. Introducing Vector Geometry
  22. Properties of Magnitude of Vector
  23. Problem-Properties of Magnitude of Vector
  24. More on Notation for Representing Vectors in Plane
  25. Problem-Notation for Representing Vectors in Plane
  26. Components of a Vector
  27. Properties of Vectors in Plane
  28. More on Properties of Vectors in Plane
  29. A Unit Vector in the Direction of Another Vector
  30. Problem-A Unit Vector in the Direction of Another Vector
  31. Notation for Vectors in Coordinate System
  32. Problem-Notation for Vectors in Coordinate System
  33. The Ratio Formula in Vector
  34. Problem1-The Ratio Formula in Vector
  35. Problem2-The Ratio Formula in Vector
  36. Mid-Point Theorem By Vectors
  37. Diagonals of Parallelogram Bisect Each Other by Vectors
  38. Ratio Theorem By Vectors
  39. Problem-Ratio Theorem By Vectors
7.2: Introduction of Vector in Space
  1. Introducing Vector Geometry
  2. Problem-Introducing Vector Geometry
  3. Concept of Vector in Space
  4. Problem-Concept of Vector in Space
  5. More on Vectors in Space
  6. Properties of Vectors
  7. Problem-Properties of Vectors
  8. Vectors Addition in Space
  9. Problem-Vectors Addition in Space
  10. Direction Numbers or Direction Ratios
  11. Scalar Multiplication in Space
  12. Problem-Scalar Multiplication in Space
  13. Notation of Vectors in Space
  14. Problem-Notation of Vectors in Space
  15. Distance Between Two Points in Space
  16. Problem-Distance Between Two Points in Space
  17. Direction Angles and Direction Cosines of Vector
  18. Problem-Direction Angles and Direction Cosines of Vector
7.3: The Scalar Product of Two Vectors
  1. Scalar Product of Two Vectors
  2. Problem-Scalar Product of Two Vectors
  3. Properties of Scalar Product
  4. More on Properties of Scalar Product
  5. Problem-Properties of Scalar Product
  6. Collinear and Coplanar Vectors
  7. Perpendicular Vectors
  8. Problem-Perpendicular Vectors
  9. Parallel Vectors
  10. Problem-Parallel Vectors
  11. Scalar Product of Vectors in Their Component Form
  12. Problem-Scalar Product of Vectors in Their Component Form
  13. Angle Between Two Vectors
  14. Problem-Angle Between Two Vectors
  15. Projection of One Vector Upon Another Vector
  16. Problem-Projection of One Vector Upon Another Vector
  17. Application of Scalar Product
  18. Problem-Application of Scalar Product
  19. Application of Scalar Product on Geometry
  20. Problem-Application of Scalar Product on Geometry
  21. More on Application of Scalar Product on Geometry
7.4: Cross Product or Vector Product of Two Vectors
  1. Cross Product of Two Vectors
  2. Problem-Cross Product of Two Vectors
  3. Derivation of Useful Results of Cross Product
  4. Problem-Derivation of Useful Results of Cross Product
  5. Expression of Cross Product in Terms of Components
  6. Problem-Expression of Cross Product in Terms of Components
  7. Cross Product of Unit Vectors
  8. Properties of Cross Product
  9. Problem-Properties of Cross Product
  10. More on Properties of Cross Product
  11. Analytical Expression of Cross Product
  12. Direction Numbers or Direction Ratios
  13. Problem-Direction Numbers or Direction Ratios
  14. Collinear and Coplanar Vectors
  15. Problem-Collinear and Coplanar Vectors
  16. Vectors Application to Geometry
  17. Problem1-Vectors Application to Geometry
  18. Problem2-Vectors Application to Geometry
  19. Moment of Force
  20. Problem-Moment of Force
  21. Condition of Parallel Vectors in Cross Product
  22. Problem-Condition of Parallel Vectors in Cross Product
  23. Area of Parallelogram by Vectors
  24. Area of Triangle by Vectors
  25. Vector Equation of Line in 3D
  26. Problem-Vector Equation of Line in 3D
  27. Application of Vector Equation
  28. Problem1-Application of Vector Equation
  29. Problem2-Application of Vector Equation
7.5: Scalar Triple Product of Vectors
  1. Scalar Triple Product
  2. Problem-Scalar Triple Product
  3. Vector Triple Product
  4. More on Vector Triple Product
  5. Analytical Expression of Triple Product
  6. Problem-Analytical Expression of Triple Product
  7. Volume of Parallelepiped by Triple Product
  8. Problem-Volume of Parallelepiped by Triple Product
  9. Application of Scalar Product
  10. Volume of Tetrahedron by Triple Product
  11. Vectors Application to Geometry
  12. Moment of Force
  13. Problem-Volume of Tetrahedron by Triple Product
  14. Properties of Triple Scalar Product
  15. Problem-Properties of Scalar Triple Product
 

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