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XI-4-1 Vectors introduction.
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Introduction of vector quantities is explained in this lesson. It's required for motion in two dimensions.

State topper in school exams, selected in IIT Kharagpur, M.Sc., 30 yrs in teaching.

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TZ
sir current has magnitude and direction both so it must be vector.
3 months ago
No. Addition of current follow scalar laws and not like vectors. Hence current is scalar.
Am
Akshat mishra
3 months ago
how sir can you plzz explain sir. cause my doubts is same too
Chinmay Sawant
3 months ago
The complete definition of vector is the one which has magnitude and direction and it must follow the triangular law of vector addition But we don't apply triangular law while adding current hence it is a scalar
sir current has direction why is it a scalar quantity
sir 12th ka revision batch kab sae start hoga
1. PHYSICS Class XI Pradeep Kshetrapal

2. Chapter 4. Motion in a plain VECTORS Lesson XI-4-1

3. Types of quantities in Physics Scalar-quantity or Scalar has magnitude. Does not need direction for its description. Example: Mass, length, time, volume, speed, temperature, work, energy, power, current, potential. In mathematical operations scalars follovw rules of ordinary algebra Pradeep Kshetrapal

4. Vector-quantity or Vector : a quantity which has both, magnitude and direction. Their description is not complete unless direction is specified Ex. Displacement, Area, velocity, acceleration, force, momentum, torque, magnetic moment. Vectors do not follow rules of mathematical operation of Algebra. They have their set of rules of mathematical operation for Vectors.

5. Notation of vector quantity. A scalar can be represented by a simple letter as in algebra. x. r (only magnitude) A vector is represented by a letter and an arrow above it. Ex. r(magnitude and direction) Some times it is also represented by Bold capital letter like A or R Pradeep Kshetrapal

6. Vector is a quantity which has magnitude and direction . It is represented by an arrow sign The point at which vector acts or from where arrow starts is called origin or tail. Head of the arrow is called head or terminal point. Direction 360 degrees Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

7. Vector is a quantity which has magnitude and direction . It is represented by an arrow sign. The point at which vector acts D Direction0 degrees or from where arrow starts is called origin or tai Head of the arrow is called head or terminal point. Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

8. Vector is a quantity which has magnitude and direction . It is represented by an arrow sign The point at which vector acts or from where arrow starts is called origin or tail. Head of the arrow is called head or terminal point. Direction60 degrees Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

9. Vector is a quantity which has magnitude and direction . It is represented by an arrow sign The point at which vector acts or from where arrow starts is called origin or tail. Head of the arrow is called head or terminal point. Direction 90 degrees Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

10. Vector is a quantity which has magnitude and direction. It is represented by an arrow sign. The point at which vector acts or from where arrow starts is called origin or tail Head of the arrow is called head or terminal point. Direction 150 degrees Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

11. Vector is a quantity which has magnitude and direction. It is represented by an arrow sign. The point at which vector acts or from where arrow starts is called origin or tail Head of the arrow is called head or terminal point. Direction 330 degrees Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

12. Vector is a quantity which has magnitude and direction . It is represented by an arrow sign The point at which vector acts or from where arrow starts is called origin or tail. Head of the arrow is called head or terminal point. Direction 360 degrees Length of arrow represents its magnitude, the direction of arrow is direction of vector. Pradeep Kshetrapal

13. Definitions Equal vectors Equal vectors are those which have same magnitude (length) and same direction Pradeep Kshetrapal

14. Addition of vectors. Addition of two vectors depends on direction. The resultant (black) depends on the angle between vectors. Minimum value is A-B and maximum value is A+B 0 0 Pradeep Kshetrapal

15. Addition of vectors. Addition of two vectors depends on direction. The resultant (black) depends on the angle between vectors. Minimum value is A-B and maximum value is A+B 30 8 N, 0 6 N, 3013.5 N, 12.8 Pradeep Kshetrapal

16. Addition of vectors. Addition of two vectors depends on direction. The resultant (black) depends on the angle between vectors. Minimum value is A-B and maximum value is A+B 210 8 N, 0 + 6 N, 2104.1 N, 313. 1 Pradeep Kshetrapal

17. Addition of vectors. Addition of two vectors depends on direction. The resultant (black) depends on the angle between vectors. Minimum value is A-B and maximum value is A+B 240 8 N, 0 + 6 N, 2407.2 N, 313.9 Pradeep Kshetrapal

18. Addition of vectors. Addition of two vectors depends on direction. The resultant (black) depends on the angle between vectors. Minimum value is A-B and maximum value is A+B 300 8 N, 0 +6 N, 3002.2 N, 334.7 Pradeep Kshetrapal

19. Addition of vectors. Addition of two vectors depends on direction. The resultant (black) depends on the angle between vectors. Minimum value is A-B and maximum value is A+B 8 N, 0 + 6 N, 36014 N, 0 Pradeep Kshetrapal

20. Addition : Triangle method-another example Second vector is moved such that its tail coincide with head of the first vector. Then a vector from tail of first to head of second gives resultant vector, or addition of two. Adding 2 Vectors

21. Addition effects in x and y direction To Add 2 Vectors Numerically 15(5,14) 15 10 10 5 7,4)

22. Addition by parallelogram Two vectors A and B of magnitude a and b, inclined at angle are acting at a point O. If these vectors are represented by two sides of a parallelogram then resultant i.e. addition is represented by the diagonal passing through O. R ABO The magnitude of this resultant is equal to r, the length of OQ which is equal to rON+ ON2 a sine M a cose N If a is the angle made by resultant then it is given by relation -OM MN +20M.MN +QN MMN2 2OM.MN +QN tan b acose Pradeep Kshetrapal

23. Components of a vector, Vector B is | effective in both axis the directions. Its effect in x direction is given X-akis by Bx. And |effect in Y direction is given by By Pradeep 6a comp.avi

24. Component Effect of a vector in a particular rection Magnitudes Ar Pradeep Kshetrapal

25. Order no matter Five vectors are added in different order. Result by each method is same. Addition of five vectors: A+ B D+ E C+B Pradeep Kshetrapal

26. Order no matter Five vectors are added in different order. Result by each method is same. Addition of five vectors: adog obetrgeiA+B+C D+E+A C+B+A

29. Wind effecting airplane add vectors Tailwind Headwind Crosswind Velocity Twelocity |Watan VelocityVelocity Resultan AiroplanWind Pradeep Kshetrapal

30. Adding vectors, river and boat Motion of Riverboat With Current Motion of River boat Without Current Pradeep Kshetrapal

31. Adding vectors, river and boat Motion of Riverboat With Current Motion of River boat Without Current Pradeep Kshetrapal

35. Projectile under gravity Pradeep Kshetrapal

36. Projectile under gravity Pradeep Kshetrapal

37. Projectile under gravity Pradeep Kshetrapal

38. Projectile under gravity Vertical free fall Gravity- free path Pradeep Kshetrapal

39. Horizontal projectile t- s miS Pradeep Kshetrapal

40. Horizontal projectile t-9.0s 100 m/s Yy- 90 m/s Pradeep Kshetrapal

41. Non Horizontal projectile Ty m/s Vy=--m/s m/s Pradeep Kshetrapal

42. Non Horizontal projectile t 14.0s 60m/s vy=-80 m/s Tx= Pradeep Kshetrapal

43. Ball observed from moving truck and ground Pradeep Kshetrapal

44. Ball observed from moving truck and ground Pradeep Kshetrapal

45. Maximum range 30 45 60 Pradeep Kshetrapal

46. Maximum range 30 45 60 Pradeep Kshetrapal

47. Maximum range 30 45 60 Pradeep Kshetrapal

48. Maximum range 30 45 60 Pradeep Kshetrapal

49. Monkey and Zookeeper If there is no gravity, and Banana is thrown aiming monkey ) Pradeep Kshetrapal

50. Thrown above monkey, Gravity present Pradeep Kshetrapal

51. Thrown above monkey, Gravity present Pradeep Kshetrapal

52. Aiming monkey, throw fast Pradeep Kshetrapal

53. Aiming monkey, throw fast 2 Pradeep Kshetrapal

54. Aiming monkey throw slow Pradeep Kshetrapal

55. Aiming monkey throw slow Pradeep Kshetrapal