## Friday, November 7, 2008

### IIT JEE Mathematics Study Guide 30. Vectors and Revision Facilitator

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