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Introduction to Vectors (in Hindi)
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Basics of vectors with practical examples for better understanding

Udit Gupta is teaching live on Unacademy Plus

Udit Gupta
A Mechanical Engineer from NIT Allahabad here to help learners with physics. Also a Star ⭐ educator.

Unacademy user
stress are vector quantities. I guess pressure is a tensor or scalar quantity.. please rectify
Udit Gupta
2 months ago
Stress is a tensor first of all and pressure is a scale.. pressure could be said to have the same units but it is always a scalar quantity
Vivek
2 months ago
stress is a vector quantity.. and pressure is a scalar... moreover stress is 2 degree tensor
Vivek
2 months ago
we use vector law of addition for stresser
Vivek
2 months ago
mohrs circle for stresses
Udit Gupta
2 months ago
Study of tensors is beyond the curriculum of mains/advance. In Mohr's circle you have a particular method to proceed and find the stresses on surfaces. It is a different method altogether and simple triangle law is not applied. Moreover, the conventional name suggests that stress should be treated as tensor while pressure as a scalar.
Vivek
2 months ago
that is not a particular method it's a method of vectors law only. and moreover if you talk conventionally then stress are 2 degree tensor and pressure is zero degree tensor. and there is a particular reason for why pressure is being treated as scalar. I just want to say that stresses are vectors. they don't need one direction but they need more than one direction for their fully representation.
Udit Gupta
2 months ago
I don't know what to say. As far as my knowledge is concerned I have tried to stay true to that and talking specifically about stress or pressure I would mark them as tensor and scalar respectively is all.. I am also a little rusty on the SOM portion so can't really say much about Mohr's circle as well..
Vivek
2 months ago
👍
Nation actually needs teachers like you!!
Udit Gupta
2 months ago
Your words mean a lot to me.
sir parallel vectors ka magnitude equal hoga
Udit Gupta
2 months ago
Nhi... Parallel Dia hai Kewal means direction same hai bass..
sir ye full chapter ka lecture hai kya
Udit Gupta
2 months ago
Haan
  1. Vectors-1 Compiled by: Udit Gupta Alumnus MNNIT Allahabad Ex-Manager at Reliance Industries Limited Ex-VidyaMandir Faculty of Physics Cofounder and CFO Elements Azamgarh


  2. Content Physical Quantities Geometrical Interpretation of vectors Types of vectors Multiplication of a vector by a scalar Unit vector


  3. Introduction Physical Quantities Scalars Tensors Vectors Magnitude and a sense of direction but do not follow vector addition. Magnitude but no sense of direction Eg. Mass, Temperature, Distance etc. It can be positive, negative or zero. Eg: - 40 c) It is represented by an English alphabet Magnitude and a sense of direction Eg. Force, Velocity, Momentum etC It is represented as: a or a or simply bold a Magnitude of a a| is a positive quantity Eg. Current, Stress Treat current as a tensor only if such option is given in the paper else treat it as scalar


  4. In tensors, normal rules of algebra are applicable. 5A 2A 3A 2A If a physical quantity is vector, it will be independent of choice of coordinate axes 5A 3A


  5. Geometrical Representation Vectors are geometrically represented by directed line segments. Vectors are free vectors i.e. they can be moved in space without changing its orientation Length of the arrow = magnitude of the vector Direction of arrow = direction of vector. Scale: 1cm=1N 5 cm


  6. Geometrical Representation Vector a' has magnitude 4 units and direction is Y axis. b5 units, direction is-X axis. FI = 6 units, direction is-Y axis.


  7. Types of Vectors Equal vectors: Two vectors having same magnitude and same direction. Parallel vectors: Two vectors having same direction. Anti-parallel vectors: Two vectors in opposite directions. Opposite vectors: Two vectors having same magnitude and opposite directions.


  8. Example Try to figure out what type of vectors are given: Opposite Equal Anti-parallel Parallel


  9. Multiplication of a vector by a scalar Let a vector a be multiplied by a scalar k. If k > 0, vector k is in same direction as of and magnitude k times that of a. If k < 0, vector k is in opposite direction as of and magnitude l kl times that of a 2a -3a


  10. Unit Vector Vector with magnitude unity or one. =IA.IA: is the unit vector in direction of Unit vector a is generally denoted as (a cap) Each direction has a unique unit vector. Unit vector in +X-axis is 1, in +Y-axis is j, in +Z- axis IsK A vector in +X direction can be written as its magnitude multiplied by and -Y respectively. Unit vector does not have any dimension and is dimensionless. i, for -X direction multiplied by - . Similarly this could be done for +Y