Vectors

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Chapter 3: Vectors (101 videos)   (Practice Test)
3.1: Vectors in Plane  (Practice Test)
  1. Scalar and Vector Quantities
  2. Problem-Scalar and Vector Quantities
  3. Terminologies and Notations of Vectors
  4. Properties of Magnitude of Vector
  5. Problem-Properties of Magnitude of Vector
  6. Equal Vectors
  7. Vectors which are Opposite
  8. Problem-Vectors which are Opposite
  9. Zero Vectors
  10. Position Vectors
  11. Problem-Position Vectors
  12. Parallel Vectors
  13. Problem-Parallel Vectors
  14. Column Vectors
  15. Addition of Vectors
  16. Problem-Addition of Vectors
  17. Subtraction of Vectors
  18. Problem-Subtraction of Vectors
  19. Scalar Multiple of a Vector
  20. Problem-Scalar Multiple of a Vector
  21. More on Notation for Representing Vectors in Plane
  22. Problem-Notation for Representing Vectors in Plane
  23. A Unit Vector in the Direction of Another Vector
  24. Problem-A Unit Vector in the Direction of Another Vector
  25. Mid-Point Theorem By Vectors
  26. Diagonals of Parallelogram Bisect Each Other by Vectors
  27. Ratio Theorem By Vectors
  28. Problem-Ratio Theorem By Vectors
  29. Expression of a Given Vector in Terms of two Vectors
  30. Problem-Expression of a Given Vector in Terms of two Vectors
  31. Components of a Vector
3.2: Vectors in Space  (Practice Test)
  1. Concept of Vector in Space
  2. More on Vectors in Space
  3. Problem-Concept of Vector in Space
  4. Notation of Vectors in Space
  5. Problem-Notation of Vectors in Space
  6. Properties of Vectors
  7. Problem-Properties of Vectors
  8. Vectors Addition in Space
  9. Problem-Vectors Addition in Space
  10. Scalar Multiplication in Space
  11. Problem-Scalar Multiplication in Space
3.3: Properties of Vector Addition  (Practice Test)
  1. Properties of Vectors in Plane
  2. More on Properties of Vectors in Plane
3.4: Properties of Scalar Multiplication
  1. Properties of Magnitude of Vector
  2. Problem-Properties of Magnitude of Vector
3.5: Dot or Scalar Product  (Practice Test)
  1. Scalar Product of Two Vectors
  2. Problem-Scalar Product of Two Vectors
  3. Scalar Product of Vectors in Their Component Form
  4. Problem-Scalar Product of Vectors in Their Component Form
  5. Perpendicular Vectors
  6. Problem-Perpendicular Vectors
  7. Parallel Vectors
  8. Problem-Parallel Vectors
  9. Properties of Scalar Product
  10. More on Properties of Scalar Product
  11. Problem-Properties of Scalar Product
  12. Direction Angles and Direction Cosines of Vector
  13. Problem-Direction Angles and Direction Cosines of Vector
  14. Direction Numbers or Direction Ratios
  15. Problem-Direction Numbers or Direction Ratios
  16. Angle Between Two Vectors
  17. Problem-Angle Between Two Vectors
  18. Projection of One Vector Upon Another Vector
  19. Problem-Projection of One Vector Upon Another Vector
  20. A Unit Vector in the Direction of Another Vector
  21. Problem-A Unit Vector in the Direction of Another Vector
  22. Application of Scalar Product
  23. Problem-Application of Scalar Product
3.6: Cross or Vector Product  (Practice Test)
  1. Cross Product of Two Vectors
  2. Cross Product of Unit Vectors
  3. Problem-Cross Product of Two Vectors
  4. Expression of Cross Product in Terms of Components
  5. Analytical Expression of Cross Product
  6. Problem-Expression of Cross Product in Terms of Components
  7. Condition of Parallel Vectors in Cross Product
  8. Problem-Condition of Parallel Vectors in Cross Product
  9. Area of Parallelogram by Vectors
  10. Area of Triangle by Vectors
  11. Properties of Cross Product
  12. More on Properties of Cross Product
  13. Problem-Properties of Cross Product
  14. Derivation of Useful Results of Cross Product
  15. Problem-Derivation of Useful Results of Cross Product
  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
3.7: Scalar Triple Product  (Practice Test)
  1. Scalar Triple Product
  2. Problem-Scalar Triple Product
  3. Analytical Expression of Triple Product
  4. Problem-Analytical Expression of Triple Product
  5. Volume of Parallelepiped by Triple Product
  6. Problem-Volume of Parallelepiped by Triple Product
  7. Volume of Tetrahedron by Triple Product
  8. Problem-Volume of Tetrahedron by Triple Product
  9. Properties of Triple Scalar Product
  10. Problem-Properties of Scalar Triple Product
  11. Collinear and Coplanar Vectors
  12. Problem-Collinear and Coplanar Vectors