1. Introduction

2. Representation of vectors

3. Equality of vectors

4. Types of vectors

5. Parallelogram law of addition of vectors

6. Subtraction of vectors

7. Multiplication of a vector by a scalar

8. Position vector

9. Section formula

10.Linear combination of vectors

11. Collinear and non-collinear vectors

12. Collinear points

13. Components of a vector

14. Components of a vector in three dimensions

15. Collinearity and coplanarity

16. Linear independence and dependence of vectors

17. Angle between two vectors

18. The scalar or dot product

19. Geometrical interpretation of scalar product

20. Properties of scalar product

21. Scalar product in terms of components

22. Angle between two vectors

23. Components of a vector b along perpendicular to vector a

24. Tetrahedron

25. Application of scalar product in mechanics to find the work done

26. Definition of vector product

27. Properties of vector product

28. vector product in terms of components

29. Vectors normal to the plane of two given vectors

30. Some important results

31. Lagrange’s identity

32. Application of vector product in mechanics to find the moment of a force

33. Application of vector product to find the moment of a couple

34. Scalar triple product

35. Properties of scalar triple product

36. Scalar triple product in terms of components

37. Distributivity of cross product over vector addition

38. Volume of a tetrahedron

39. Vector triple product

40. Geometrical applications of vectors

41. Solutions of vector equations

**Study Plan**

Day 1

1. Introduction

2. Representation of vectors

3. Equality of vectors

4. Types of vectors

5. Parallelogram law of addition of vectors

6. Subtraction of vectors

7. Multiplication of a vector by a scalar

8. Position vector

Day 2

9. Section formula

10.Linear combination of vectors

11. Collinear and non-collinear vectors

12. Collinear points

Day 3

Objective Type Exercises 1 to 20 (Try what you can solve based on the above 12 sections)

Day 4

13. Components of a vector

14. Components of a vector in three dimensions

15. Collinearity and coplanarity

Day 5

Solve problems for OTE which you could not solve earlier

16. Linear independence and dependence of vectors

17. Angle between two vectors

18. The scalar or dot product

19. Geometrical interpretation of scalar product

20. Properties of scalar product

21. Scalar product in terms of components

22. Angle between two vectors

Day 6

23. Components of a vector b along perpendicular to vector a

24. Tetrahedron

25. Application of scalar product in mechanics to find the work done

O.T.E. 21 to 30

Day 7

26. Definition of vector product

27. Properties of vector product

28. vector product in terms of components

29. Vectors normal to the plane of two given vectors

30. Some important results

Day 8

31. Lagrange’s identity

32. Application of vector product in mechanics to find the moment of a force

33. Application of vector product to find the moment of a couple

Day 9

34. Scalar triple product

35. Properties of scalar triple product

36. Scalar triple product in terms of components

37. Distributivity of cross product over vector addition

Day 10

38. Volume of a tetrahedron

39. Vector triple product

Day 11

40. Geometrical applications of vectors

41. Solutions of vector equations

Concept revision

Day 12

O.T.E.: 31 to 50

Day 13

O.T.E.: 51 to 70

Day 14

O.T.E.: 71 to 90

Day 15

O.T.E.: 91 to 110

Revision Period

Day 16

O.T.E.: 111 to 120

Day 17

O.T.E.: 121 to 130

Day 18

O.T.E.: 131 to 140

Day 19

O.T.E.: 141 to 150

Day 20

O.T.E.: 151 to 160

Day 21

O.T.E.: 161 to 170

Day 22

O.T.E.: 171 to 180

Day 23

O.T.E.: 181 to 189

Day 24

Fill in the blanks exercise 1 to 10

Day 25

Fill in the blanks exercise 11 to 20

Day 26

Fill in the blanks exercise 21 to 30

Day 27

Fill in the blanks exercise 31 to 40

Day 28

Fill in the blanks exercise 41 to 48

Day 29

True or false type exercise 1 to 10

Day 30

True or false type exercise 11 to 14

Concept revision

Try to recollect relevant points on the topic and if required right click on the topic if link is given and open in a new window to read the relevant material. Close the window and come back.

1. Introduction

2. Representation of vectors

3. Equality of vectors

4. Types of vectors

5. Parallelogram law of addition of vectors

6. Subtraction of vectors

7. Multiplication of a vector by a scalar

8. Position vector

9. Section formula

10.Linear combination of vectors

11. Collinear and non-collinear vectors

12. Collinear points

13. Components of a vector

14. Components of a vector in three dimensions

15. Collinearity and coplanarity

16. Linear independence and dependence of vectors

17. Angle between two vectors

18. The scalar or dot product

19. Geometrical interpretation of scalar product

20. Properties of scalar product

21. Scalar product in terms of components

22. Angle between two vectors

23. Components of a vector b along perpendicular to vector a

24. Tetrahedron

25. Application of scalar product in mechanics to find the work done

26. Definition of vector product

27. Properties of vector product

28. vector product in terms of components

29. Vectors normal to the plane of two given vectors

30. Some important results

31. Lagrange’s identity

32. Application of vector product in mechanics to find the moment of a force

33. Application of vector product to find the moment of a couple

34. Scalar triple product

35. Properties of scalar triple product

36. Scalar triple product in terms of components

37. Distributivity of cross product over vector addition

38. Volume of a tetrahedron

39. Vector triple product

40. Geometrical applications of vectors

41. Solutions of vector equations

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