Sections in the Chapter
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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