Vectors

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Chapter 3: Vectors (50 videos)   (Practice Test)
3.1: Vectors as displacements  (Practice Test)
  1. Scalar and Vector Quantities
  2. Problem-Scalar and Vector Quantities
  3. Terminologies and Notations of Vectors
  4. More on Notation for Representing Vectors in Plane
  5. Problem-Notation for Representing Vectors in Plane
  6. Properties of Vectors in Plane
  7. More on Properties of Vectors in Plane
  8. Concept of Vector in Space
  9. More on Vectors in Space
  10. Problem-Concept of Vector in Space
  11. Notation of Vectors in Space
  12. Problem-Notation of Vectors in Space
3.2: Components of a vector  (Practice Test)
  1. Components of a Vector
  2. Column Vectors
3.3: Algebraic and geometric approaches  (Practice Test)
  1. Problem-Addition of Vectors
  2. Vector Addition is Associative
  3. Problem-Vector Addition is Associative
  4. Zero Vectors
  5. Subtraction of Vectors
  6. Problem-Subtraction of Vectors
  7. Scalar Multiple of a Vector
  8. Problem-Scalar Multiple of a Vector
  9. Problem-Properties of Magnitude of Vector
  10. A Unit Vector in the Direction of Another Vector
  11. Problem-A Unit Vector in the Direction of Another Vector
  12. Position Vectors
  13. Problem-Position Vectors
3.4: The scalar product of two vectors.  (Practice Test)
  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. Perpendicular Vectors
  7. Problem-Perpendicular Vectors
  8. Parallel Vectors
  9. Problem-Parallel Vectors
  10. Scalar Product of Vectors in Their Component Form
  11. Problem-Scalar Product of Vectors in Their Component Form
  12. Application of Scalar Product
  13. Problem-Application of Scalar Product
  14. Application of Scalar Product on Geometry
  15. More on Application of Scalar Product on Geometry
  16. Problem-Application of Scalar Product on Geometry
3.5: The angle between two vectors.
  1. Angle Between Two Vectors
  2. Problem-Angle Between Two Vectors
3.6: The angle between two lines.
  1. Angle Between Two Lines in General Form
3.7: Coincident and parallel lines.  (Practice Test)
  1. Parallel Lines
  2. Problem 1: Parallel Lines
  3. Intersecting Lines
  4. Relationship between Two and Three Straight Lines